{
  "title": "Combination of 3D Shapes (Surface Areas and Volumes) - Grade 10 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "When two cubes of side 'a' are joined, surface area of new cuboid is:", "options": {"A": "10a²", "B": "12a²", "C": "8a²", "D": "6a²"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "A cylinder and cone have same base radius and height. Volume ratio (cylinder:cone) is:", "options": {"A": "3:1", "B": "1:3", "C": "2:1", "D": "1:2"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Two hemispheres joined at their bases form a:", "options": {"A": "Sphere", "B": "Cylinder", "C": "Cone", "D": "Cuboid"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "A cube of side 4cm and sphere of radius 2cm. Which has more volume?", "options": {"A": "Cube", "B": "Sphere", "C": "Equal", "D": "Cannot compare"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "When cone is mounted on cylinder, total height is:", "options": {"A": "h(cone) + h(cylinder)", "B": "h(cone) only", "C": "h(cylinder) only", "D": "h(cone) × h(cylinder)"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Volume of combination =", "options": {"A": "Sum of volumes", "B": "Difference of volumes", "C": "Product of volumes", "D": "Average of volumes"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Surface area of combination (excluding common parts) =", "options": {"A": "Sum of surface areas minus common area", "B": "Sum of all surface areas", "C": "Only outer surface areas", "D": "Average of surface areas"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Two cubes of side 2cm joined end to end. Length of new cuboid:", "options": {"A": "4cm", "B": "2cm", "C": "6cm", "D": "8cm"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Hemisphere on top of cylinder. Common surface is:", "options": {"A": "Circle", "B": "Rectangle", "C": "Triangle", "D": "Square"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Cone on hemisphere. If both have same radius, height of cone =", "options": {"A": "Given", "B": "Radius", "C": "Diameter", "D": "2×radius"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Cube of side 3cm and sphere of radius 1.5cm. Surface area ratio (cube:sphere) approx:", "options": {"A": "2:1", "B": "1:1", "C": "3:2", "D": "4:3"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "Two cylinders of same radius joined base to base form:", "options": {"A": "Longer cylinder", "B": "Cone", "C": "Sphere", "D": "Cuboid"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "For cylinder with hemispherical ends, total length =", "options": {"A": "h(cylinder) + 2r", "B": "h(cylinder) only", "C": "2r only", "D": "h(cylinder) + r"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Cube of volume 8cm³ and sphere of volume 4π/3 cm³. Which is larger?", "options": {"A": "Cube", "B": "Sphere", "C": "Equal", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Cone carved out of cylinder of same dimensions. Remaining volume =", "options": {"A": "2/3 cylinder volume", "B": "1/3 cylinder volume", "C": "1/2 cylinder volume", "D": "Cylinder volume"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Two identical hemispheres form sphere of radius:", "options": {"A": "Same as hemisphere radius", "B": "Double hemisphere radius", "C": "Half hemisphere radius", "D": "√2 times radius"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Cylinder inscribed in cube of side a. Cylinder height =", "options": {"A": "a", "B": "2a", "C": "a/2", "D": "πa"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Sphere inside cube touches all faces. Sphere diameter =", "options": {"A": "Cube side", "B": "Cube diagonal", "C": "Cube side/2", "D": "Cube side√2"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Cone and hemisphere same radius. If cone height = radius, total height =", "options": {"A": "r + r = 2r", "B": "r only", "C": "2r only", "D": "3r"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Two cuboids of dimensions l×b×h joined along length. New length =", "options": {"A": "2l", "B": "l", "C": "l+b", "D": "l+h"}, "correct_answer": "A"},
    
    {"id": 21, "difficulty": "medium", "question": "Two cubes of side 4cm joined. Surface area of resulting cuboid:", "options": {"A": "160 cm²", "B": "192 cm²", "C": "128 cm²", "D": "144 cm²"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Cone of radius 3cm, height 4cm on hemisphere of radius 3cm. Total volume:", "options": {"A": "94.2 cm³", "B": "113.04 cm³", "C": "75.36 cm³", "D": "131.88 cm³"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Cylinder of radius 7cm, height 10cm with hemispherical ends. Total surface area:", "options": {"A": "1036.8 cm²", "B": "968 cm²", "C": "1100 cm²", "D": "924 cm²"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Two spheres of radii 3cm and 4cm melted to form one sphere. New radius:", "options": {"A": "∛(125) ≈ 5cm", "B": "3.5cm", "C": "∛(91) ≈ 4.5cm", "D": "6cm"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Cuboid 8×6×4cm with cylinder of radius 2cm, height 8cm placed on top. Total height:", "options": {"A": "12cm", "B": "8cm", "C": "10cm", "D": "14cm"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Cone of radius 6cm, height 8cm on cylinder of radius 6cm, height 10cm. Total volume:", "options": {"A": "1584 cm³", "B": "1206 cm³", "C": "1752 cm³", "D": "1440 cm³"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Two hemispheres of radius 5cm joined. Surface area of sphere formed:", "options": {"A": "314 cm²", "B": "235.5 cm²", "C": "392.5 cm²", "D": "471 cm²"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Cube of side 10cm with hemisphere carved out from top. If hemisphere radius=5cm, remaining volume:", "options": {"A": "1000 - 261.67 = 738.33 cm³", "B": "1000 - 523.33 = 476.67 cm³", "C": "1000 cm³", "D": "500 cm³"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Cylinder of radius 14cm, height 20cm with cone of same radius, height 21cm on top. Total surface area:", "options": {"A": "4664 cm²", "B": "5104 cm²", "C": "4224 cm²", "D": "4840 cm²"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Sphere of radius 9cm inside cube. Volume between cube and sphere:", "options": {"A": "18³ - (4/3π9³) ≈ 5832-3052=2780 cm³", "B": "2000 cm³", "C": "3500 cm³", "D": "1500 cm³"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Two cones of radius 3cm, height 4cm joined base to base. Total volume:", "options": {"A": "2×(1/3π×9×4)=75.36 cm³", "B": "50.24 cm³", "C": "100.48 cm³", "D": "37.68 cm³"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Cylinder of radius 5cm, height 12cm with hemispherical depression at one end. Volume of remaining solid:", "options": {"A": "π×25×12 - 2/3π×125 = 942-261.67=680.33 cm³", "B": "600 cm³", "C": "750 cm³", "D": "800 cm³"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Cube of side 8cm with sphere of maximum size inside. Volume of sphere:", "options": {"A": "4/3π×4³=268.08 cm³", "B": "2144.66 cm³", "C": "536.17 cm³", "D": "134.04 cm³"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Cone of radius 7cm, height 24cm on hemisphere of radius 7cm. Total height:", "options": {"A": "31cm", "B": "24cm", "C": "38cm", "D": "28cm"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Two cylinders of radius 4cm, heights 5cm and 7cm joined. Total volume:", "options": {"A": "π×16×(5+7)=602.88 cm³", "B": "π×16×12=603.19 cm³", "C": "500 cm³", "D": "700 cm³"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Cuboid 15×10×5cm with pyramid of height 6cm on top. If base of pyramid matches cuboid top, total volume:", "options": {"A": "15×10×5 + 1/3×150×6 = 750+300=1050 cm³", "B": "1200 cm³", "C": "900 cm³", "D": "800 cm³"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Sphere of radius 10cm with cylinder of radius 6cm, height 16cm carved out. Remaining volume:", "options": {"A": "4186.67 - 1808.64 = 2378.03 cm³", "B": "2000 cm³", "C": "3000 cm³", "D": "2500 cm³"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Hemisphere of radius 14cm on cube of side 28cm. Total height:", "options": {"A": "28+14=42cm", "B": "28cm", "C": "14cm", "D": "56cm"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Cone of radius 5cm, height 12cm inside cylinder of same radius, height. Volume between:", "options": {"A": "π×25×12 - 1/3π×25×12 = 942.48-314.16=628.32 cm³", "B": "500 cm³", "C": "700 cm³", "D": "800 cm³"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Two identical cones joined at bases form:", "options": {"A": "Shape like hourglass", "B": "Cylinder", "C": "Sphere", "D": "Double cone"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "Cylinder of radius 10cm, height 15cm with conical cavity of same dimensions. Volume of remaining metal:", "options": {"A": "2/3×π×100×15=3140 cm³", "B": "4710 cm³", "C": "1570 cm³", "D": "6280 cm³"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "Cube of side 6cm with hemisphere of radius 3cm on each face. Total volume:", "options": {"A": "216 + 6×2/3π×27 = 216+339.12=555.12 cm³", "B": "500 cm³", "C": "600 cm³", "D": "450 cm³"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "Sphere of diameter 21cm cut into two hemispheres. Total surface area of one hemisphere:", "options": {"A": "3π×10.5²=1039.5 cm²", "B": "2π×10.5²=692.7 cm²", "C": "π×10.5²=346.36 cm²", "D": "1385.44 cm²"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "Cylinder of radius 3.5cm, height 10cm with sphere of radius 3.5cm on top. Total height:", "options": {"A": "10+3.5=13.5cm", "B": "10+7=17cm", "C": "10cm", "D": "3.5cm"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "medium", "question": "Cone of radius 8cm, height 15cm inside cube. Minimum cube side:", "options": {"A": "16cm", "B": "15cm", "C": "8cm", "D": "23cm"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "Two cuboids 4×3×2cm joined along 4cm side. New dimensions:", "options": {"A": "8×3×2cm", "B": "4×6×2cm", "C": "4×3×4cm", "D": "4×3×2cm"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "Hemisphere of radius 6cm on cylinder of radius 6cm, height 14cm. Total surface area:", "options": {"A": "2π×6×14 + π×6² + 2π×6² = 527.52+113.04+226.08=866.64 cm²", "B": "1000 cm²", "C": "750 cm²", "D": "900 cm²"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "Sphere of radius 5cm inside cylinder of same radius. Cylinder height:", "options": {"A": "10cm", "B": "5cm", "C": "15cm", "D": "20cm"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "Cone of height 9cm, radius 12cm with hemisphere of radius 12cm at base. Total volume:", "options": {"A": "1/3π×144×9 + 2/3π×1728 = 1356.48+3619.11=4975.59 cm³", "B": "4500 cm³", "C": "5500 cm³", "D": "4000 cm³"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Two pyramids with square base of side 8cm, height 6cm joined base to base. Total volume:", "options": {"A": "2×1/3×64×6=256 cm³", "B": "128 cm³", "C": "384 cm³", "D": "512 cm³"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Cylinder of radius 4cm, height 12cm with conical ends of height 3cm each. Total volume:", "options": {"A": "π×16×12 + 2×1/3π×16×3 = 602.88+100.48=703.36 cm³", "B": "800 cm³", "C": "600 cm³", "D": "900 cm³"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "Cube of side 7cm with cylindrical hole of radius 2cm through center. Volume remaining:", "options": {"A": "343 - π×4×7=343-87.92=255.08 cm³", "B": "300 cm³", "C": "200 cm³", "D": "400 cm³"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Sphere of radius 8cm cut into two equal hemispheres. Curved surface area of one hemisphere:", "options": {"A": "2π×64=401.92 cm²", "B": "π×64=200.96 cm²", "C": "3π×64=602.88 cm²", "D": "4π×64=803.84 cm²"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Cone of radius 10cm, height 24cm on cube of side 20cm. Total height:", "options": {"A": "20+24=44cm", "B": "24cm", "C": "20cm", "D": "34cm"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Two spheres of radii 6cm and 8cm melted to form cylinder of radius 7cm. Cylinder height:", "options": {"A": "(4/3π(216+512))/(π×49) = (300.16+2143.57)/153.86 ≈ 15.88cm", "B": "12cm", "C": "18cm", "D": "20cm"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "Cuboid 12×8×6cm with hemisphere of radius 4cm on 12×8 face. Total volume:", "options": {"A": "576 + 2/3π×64 = 576+134.04=710.04 cm³", "B": "650 cm³", "C": "750 cm³", "D": "800 cm³"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Cylinder of radius 5cm, height 8cm with sphere of radius 5cm inside. Volume outside sphere:", "options": {"A": "π×25×8 - 4/3π×125 = 628-523.33=104.67 cm³", "B": "200 cm³", "C": "150 cm³", "D": "100 cm³"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Two cones of radius 5cm, heights 12cm and 8cm joined base to base. Total height:", "options": {"A": "20cm", "B": "12cm", "C": "8cm", "D": "4cm"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "Cube of side 9cm with pyramid of height 6cm on top. If pyramid base = cube top, total surface area:", "options": {"A": "5×81 + 4×1/2×9×√(6²+4.5²) = 405+4×1/2×9×7.5=405+135=540 cm²", "B": "600 cm²", "C": "500 cm²", "D": "450 cm²"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Sphere of radius 12cm inside cylinder filled with water. Water volume outside sphere:", "options": {"A": "π×144×24 - 4/3π×1728 = 10857.6-7238.23=3619.37 cm³", "B": "4000 cm³", "C": "3000 cm³", "D": "5000 cm³"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Hemisphere of radius 9cm on cylinder of radius 9cm, height 15cm. Total volume:", "options": {"A": "π×81×15 + 2/3π×729 = 3815.1+1526.04=5341.14 cm³", "B": "5000 cm³", "C": "5500 cm³", "D": "6000 cm³"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Two cubes of sides 3cm and 4cm joined face to face. Surface area of combination:", "options": {"A": "6×9+6×16-2×9=54+96-18=132 cm²", "B": "150 cm²", "C": "120 cm²", "D": "140 cm²"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Cone of radius 14cm, height 48cm with hemisphere of radius 14cm at base. Total surface area:", "options": {"A": "π×14×50 + 2π×196 = 2198+1230.88=3428.88 cm²", "B": "4000 cm²", "C": "3000 cm²", "D": "3500 cm²"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Cylinder of radius 6cm, height 10cm with conical top of height 4cm. Total volume:", "options": {"A": "π×36×10 + 1/3π×36×4 = 1130.4+150.72=1281.12 cm³", "B": "1200 cm³", "C": "1400 cm³", "D": "1000 cm³"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Sphere of radius 7cm inside cube. Surface area of cube:", "options": {"A": "6×14²=1176 cm²", "B": "6×7²=294 cm²", "C": "6×49=294 cm²", "D": "6×196=1176 cm²"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Two hemispheres of radii 3cm and 4cm joined base to base. Height of combination:", "options": {"A": "3+4=7cm", "B": "6cm", "C": "8cm", "D": "5cm"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Cuboid 10×8×5cm with cylinder of radius 2.5cm, height 10cm placed inside. Volume outside cylinder:", "options": {"A": "400 - π×6.25×10=400-196.25=203.75 cm³", "B": "250 cm³", "C": "300 cm³", "D": "200 cm³"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Cone of radius 10cm, height 24cm inside sphere. Sphere radius:", "options": {"A": "13cm", "B": "24cm", "C": "10cm", "D": "26cm"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Two cylinders of radii 5cm and 3cm, both height 10cm, joined. Total volume:", "options": {"A": "π×25×10 + π×9×10 = 785+282.6=1067.6 cm³", "B": "1000 cm³", "C": "1200 cm³", "D": "900 cm³"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Cube of side 5cm with spherical corners of radius 1cm removed. Volume remaining:", "options": {"A": "125 - 8×1/8×4/3π×1=125-4.19=120.81 cm³", "B": "115 cm³", "C": "110 cm³", "D": "105 cm³"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "Hemisphere of radius 10cm on prism of base 20×20cm, height 15cm. Total height:", "options": {"A": "15+10=25cm", "B": "15cm", "C": "10cm", "D": "35cm"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "medium", "question": "Cylinder of radius 8cm, height 12cm with hemispherical depression of radius 4cm at each end. Volume of remaining:", "options": {"A": "π×64×12 - 2×2/3π×64 = 2411.52-267.95=2143.57 cm³", "B": "2000 cm³", "C": "2500 cm³", "D": "1800 cm³"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "medium", "question": "Two cones of same radius 6cm, heights 8cm and 12cm joined at bases. Total volume:", "options": {"A": "1/3π×36×(8+12)=1/3π×36×20=753.6 cm³", "B": "800 cm³", "C": "700 cm³", "D": "900 cm³"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Sphere of radius 9cm inside cylinder of radius 12cm, height 18cm. Volume between:", "options": {"A": "π×144×18 - 4/3π×729 = 8138.88-3052.08=5086.8 cm³", "B": "5000 cm³", "C": "4500 cm³", "D": "5500 cm³"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "Cube of side 6cm with pyramid of height 4cm on each face. Total volume:", "options": {"A": "216 + 6×1/3×36×4 = 216+288=504 cm³", "B": "500 cm³", "C": "600 cm³", "D": "400 cm³"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "Cylinder of radius 7cm, height 14cm with cone of same radius, height 7cm carved out. Remaining volume:", "options": {"A": "π×49×14 - 1/3π×49×7 = 2154.04-359.01=1795.03 cm³", "B": "1500 cm³", "C": "2000 cm³", "D": "1800 cm³"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "Two hemispheres of radius 6cm joined to cylinder of radius 6cm, height 8cm. Total surface area:", "options": {"A": "2π×6×8 + 4π×36 = 301.44+452.16=753.6 cm²", "B": "800 cm²", "C": "700 cm²", "D": "900 cm²"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "Cone of radius 5cm, height 12cm inside cube. Cube volume:", "options": {"A": "10³=1000 cm³", "B": "12³=1728 cm³", "C": "5³=125 cm³", "D": "24³=13824 cm³"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "Sphere of radius 8cm with cylindrical hole of radius 3cm through center. Remaining volume:", "options": {"A": "4/3π×512 - π×9×16 = 2143.57-452.16=1691.41 cm³", "B": "1500 cm³", "C": "1800 cm³", "D": "2000 cm³"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "Cuboid 15×10×8cm with hemisphere of radius 5cm on 15×10 face. Total height:", "options": {"A": "8+5=13cm", "B": "8cm", "C": "5cm", "D": "15cm"}, "correct_answer": "A"},
    
    {"id": 81, "difficulty": "hard", "question": "A solid consists of cylinder with hemispherical ends. Total length is 15cm and diameter is 7cm. Find total surface area.", "options": {"A": "418 cm²", "B": "396 cm²", "C": "440 cm²", "D": "475 cm²"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "From solid cylinder of height 14cm and diameter 7cm, conical cavity of same height and diameter is carved out. Find TSA of remaining solid.", "options": {"A": "462 cm²", "B": "484 cm²", "C": "440 cm²", "D": "418 cm²"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "A vessel is in form of inverted cone of height 24cm and radius 7cm. It contains water to depth 12cm. Find volume of water.", "options": {"A": "154 cm³", "B": "308 cm³", "C": "616 cm³", "D": "1232 cm³"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "A solid iron pole consists of cylinder 2.1m high and 0.7m diameter with cone 0.7m high and same diameter on top. Find mass if 1cm³ iron=8g.", "options": {"A": "1056 kg", "B": "1152 kg", "C": "1200 kg", "D": "980 kg"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "A pen stand is cuboid 15×10×3.5cm with 4 cylindrical depressions of radius 0.5cm, depth 1.4cm. Find volume of wood.", "options": {"A": "515.2 cm³", "B": "525 cm³", "C": "510 cm³", "D": "520 cm³"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "A solid is hemisphere surmounted by cone. If radius is 3.5cm and total height is 9.5cm, find volume.", "options": {"A": "166.83 cm³", "B": "184.83 cm³", "C": "192.5 cm³", "D": "176.83 cm³"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "A toy is hemisphere radius 3.5cm surmounted by cone of same radius, height 4cm. Find TSA.", "options": {"A": "115.5 cm²", "B": "120.5 cm²", "C": "125.5 cm²", "D": "110.5 cm²"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "A gulab jamun contains sugar syrup up to 30% of volume. If gulab jamun is sphere of diameter 2.8cm, find syrup volume.", "options": {"A": "3.45 cm³", "B": "4.12 cm³", "C": "2.88 cm³", "D": "3.88 cm³"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "A container shaped like right circular cylinder of diameter 12cm and height 15cm is full of ice cream. Ice cream is to be filled into cones of height 12cm and diameter 6cm. How many cones?", "options": {"A": "15", "B": "12", "C": "18", "D": "20"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "A well of diameter 3m is dug 14m deep. Earth taken out spread to form platform 10m×4m. Find height of platform.", "options": {"A": "2.475 m", "B": "2.25 m", "C": "2.0 m", "D": "1.75 m"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "A metallic sphere of radius 4.2cm is melted and recast into shape of cylinder of radius 6cm. Find height.", "options": {"A": "2.74 cm", "B": "3.15 cm", "C": "2.45 cm", "D": "3.5 cm"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Metallic spheres of radii 6cm, 8cm, 10cm melted to form single sphere. Find radius.", "options": {"A": "12 cm", "B": "14 cm", "C": "16 cm", "D": "18 cm"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "A 20m deep well of diameter 7m is dug and earth spread to form platform 22m×14m. Find height.", "options": {"A": "2.5 m", "B": "2.0 m", "C": "1.75 m", "D": "3.0 m"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "A container shaped like hemisphere of radius 14cm is full of water. Water poured into cylindrical vessel of radius 7cm. Find height in cylinder.", "options": {"A": "26.67 cm", "B": "28 cm", "C": "24 cm", "D": "30 cm"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "A hemispherical depression cut from one face of cubical block of side 7cm such that diameter of hemisphere equals edge of cube. Find surface area of remaining solid.", "options": {"A": "332.5 cm²", "B": "350 cm²", "C": "325 cm²", "D": "340 cm²"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "A medicine capsule is cylinder with hemispherical ends. Total length 14mm, diameter 5mm. Find surface area.", "options": {"A": "220 mm²", "B": "240 mm²", "C": "260 mm²", "D": "280 mm²"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "A tent is cylinder surmounted by cone. Diameter 24m, cylinder height 11m, cone slant height 13m. Find canvas needed if floor not covered.", "options": {"A": "1320 m²", "B": "1400 m²", "C": "1250 m²", "D": "1500 m²"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "A solid is cone mounted on hemisphere of same radius 3.5cm. Total height 9.5cm. Find volume.", "options": {"A": "166.83 cm³", "B": "184.83 cm³", "C": "192.5 cm³", "D": "176.83 cm³"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "A wooden article was made by scooping out hemisphere from each end of solid cylinder. If cylinder height 10cm, radius 3.5cm, find TSA.", "options": {"A": "374 cm²", "B": "396 cm²", "C": "418 cm²", "D": "440 cm²"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "A spherical glass vessel has cylindrical neck 8cm long, 2cm diameter. If diameter of spherical part is 8.5cm, find volume.", "options": {"A": "346.51 cm³", "B": "356.25 cm³", "C": "336.15 cm³", "D": "326.45 cm³"}, "correct_answer": "A"}
  ]
}