{
  "title": "Cylinder, Cone, Sphere - Grade 10 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Volume of cylinder = ? 🛢️", "options": {"A": "πr²h", "B": "2πrh", "C": "πr²", "D": "2πr(h+r)"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Curved surface area of cone = ? 🔺", "options": {"A": "πrl", "B": "πr²", "C": "πr²h/3", "D": "2πr"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Surface area of sphere = ? ⚫", "options": {"A": "4πr²", "B": "πr²", "C": "2πr²", "D": "4πr³/3"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Volume of cone = ? 🍦", "options": {"A": "(1/3)πr²h", "B": "πr²h", "C": "πrl", "D": "2πr²"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Cylinder has ___ circular faces. 🔄", "options": {"A": "2", "B": "1", "C": "3", "D": "0"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Slant height of cone: l = ? 📐", "options": {"A": "√(r² + h²)", "B": "r + h", "C": "r² + h²", "D": "πr + h"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Volume of sphere = ? 🎾", "options": {"A": "(4/3)πr³", "B": "4πr²", "C": "πr³", "D": "(2/3)πr³"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Cylinder curved surface area = ? 📏", "options": {"A": "2πrh", "B": "πr²h", "C": "πr²", "D": "2πr²"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Cone has ___ vertex. 🔼", "options": {"A": "1", "B": "2", "C": "0", "D": "3"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Total surface area of cylinder = ? 🛢️", "options": {"A": "2πr(h + r)", "B": "2πrh", "C": "πr²h", "D": "πr²"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Hemisphere volume = ? 🌓", "options": {"A": "(2/3)πr³", "B": "(4/3)πr³", "C": "πr³", "D": "2πr²"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "Cone total surface area = ? 📊", "options": {"A": "πr(l + r)", "B": "πrl", "C": "πr²", "D": "πr²h"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Sphere has ___ faces. 🔵", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "If cylinder radius doubles, volume becomes ___ times. ⬆️", "options": {"A": "4", "B": "2", "C": "8", "D": "Same"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Ice cream cone shape = ? 🍦", "options": {"A": "Cone", "B": "Sphere", "C": "Cylinder", "D": "Cube"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Can shape = ? 🥫", "options": {"A": "Cylinder", "B": "Cone", "C": "Sphere", "D": "Cuboid"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Ball shape = ? 🏀", "options": {"A": "Sphere", "B": "Cone", "C": "Cylinder", "D": "Hemisphere"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Cone volume is ___ of cylinder with same base & height. 🔺", "options": {"A": "1/3", "B": "1/2", "C": "Same", "D": "2/3"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Cylinder height is distance between ___ bases. 📏", "options": {"A": "Two", "B": "One", "C": "Three", "D": "No"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Sphere radius r, diameter = ? 📐", "options": {"A": "2r", "B": "r/2", "C": "r²", "D": "πr"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "Cylinder radius 7cm, height 10cm. Volume? 📊", "options": {"A": "π×7²×10 = 1540 cm³", "B": "2π×7×10 = 440 cm²", "C": "π×7×10 = 220 cm²", "D": "7²×10 = 490 cm³"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Cone radius 3cm, height 4cm. Slant height? 📐", "options": {"A": "√(3²+4²)=5 cm", "B": "3+4=7 cm", "C": "4-3=1 cm", "D": "3×4=12 cm"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Sphere radius 14cm. Volume? 🎾", "options": {"A": "(4/3)π×14³ ≈ 11488 cm³", "B": "4π×14² ≈ 2464 cm²", "C": "π×14³ ≈ 8624 cm³", "D": "2π×14² ≈ 1232 cm²"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Cylinder CSA 440 cm², height 10cm. Radius? 🔍", "options": {"A": "440/(2π×10)=7 cm", "B": "440/(π×10)=14 cm", "C": "√(440/π)=11.8 cm", "D": "440/(10)=44 cm"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Cone volume 462 cm³, height 9cm. Radius? 📏", "options": {"A": "√[(462×3)/(π×9)]=7 cm", "B": "462/(π×9)=16.3 cm", "C": "√(462/9)=7.16 cm", "D": "462×3/9=154 cm"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Sphere SA 616 cm². Radius? 🔵", "options": {"A": "√(616/4π)=7 cm", "B": "616/4π=49 cm", "C": "616/π=196 cm", "D": "√(616/π)=14 cm"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Cylinder TSA 1188 cm², height 15cm. Radius? 🛢️", "options": {"A": "1188=2πr(15+r), solve r=7 cm", "B": "1188/(2π×15)=12.6 cm", "C": "√(1188/π)=19.5 cm", "D": "1188/15=79.2 cm"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Cone slant height 25cm, radius 7cm. Height? 🔺", "options": {"A": "√(25²-7²)=24 cm", "B": "25-7=18 cm", "C": "25+7=32 cm", "D": "√(25²+7²)=26 cm"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Sphere volume 38808 cm³. Diameter? 📏", "options": {"A": "∛[(38808×3)/(4π)]=21 cm radius, diameter=42 cm", "B": "√(38808/π)=111 cm", "C": "38808/π=12348 cm", "D": "∛38808=33.8 cm"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Cylinder volume 3850 cm³, radius 7cm. Height? 📐", "options": {"A": "3850/(π×7²)=25 cm", "B": "3850/(2π×7)=87.5 cm", "C": "√(3850/π)=35 cm", "D": "3850/7²=78.6 cm"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Cone CSA 550 cm², slant height 25cm. Radius? 📊", "options": {"A": "550/(π×25)=7 cm", "B": "550/25=22 cm", "C": "√(550/π)=13.2 cm", "D": "550×2/25=44 cm"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Hemisphere CSA 693 cm². Radius? 🌓", "options": {"A": "693/(2π)=110.25, √110.25=10.5 cm", "B": "693/π=220.5 cm", "C": "√(693/π)=14.8 cm", "D": "693/2=346.5 cm"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Cylinder radius doubled, height halved. Volume change? ⚖️", "options": {"A": "2 times", "B": "Same", "C": "Half", "D": "4 times"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Cone height tripled, radius same. Volume becomes ___ times. 🔼", "options": {"A": "3", "B": "9", "C": "Same", "D": "1/3"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Sphere radius halved. Volume becomes ___ of original. 📉", "options": {"A": "1/8", "B": "1/2", "C": "1/4", "D": "1/16"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Cylinder & cone same base & height. Volume ratio? 📊", "options": {"A": "3:1", "B": "1:3", "C": "1:1", "D": "2:1"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Cone radius 5cm, height 12cm. TSA? 📏", "options": {"A": "π×5(13+5)=90π cm²", "B": "π×5×13=65π cm²", "C": "π×5²+π×5×13=90π cm²", "D": "π×5×12=60π cm²"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Hemisphere TSA 462 cm². Radius? 🌓", "options": {"A": "3πr²=462, r=7 cm", "B": "2πr²=462, r=8.6 cm", "C": "πr²=462, r=12.1 cm", "D": "4πr²=462, r=6.1 cm"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Cylinder CSA 880 cm², radius 14cm. Height? 🛢️", "options": {"A": "880/(2π×14)=10 cm", "B": "880/(π×14)=20 cm", "C": "880/14=62.9 cm", "D": "2π×14=88 cm"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Sphere diameter 42cm. SA? 🔵", "options": {"A": "4π×21²=5544 cm²", "B": "π×42²=5544 cm²", "C": "4π×42²=22176 cm²", "D": "π×21²=1386 cm²"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "Cylinder radius 10cm melted into sphere. Sphere radius? 🔄", "options": {"A": "∛[(10²×h×3)/4] but h needed", "B": "10 cm", "C": "15 cm", "D": "Cannot determine"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Cone radius 6cm, height 8cm inscribed in sphere. Sphere radius? 🔍", "options": {"A": "√(6²+(8-r)²)=r, solve r=5 cm", "B": "√(6²+8²)=10 cm", "C": "8 cm", "D": "6 cm"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "Cylinder radius 7cm contains water. Sphere radius 3.5cm immersed. Water rise? 💧", "options": {"A": "(4/3)π×3.5³ ÷ (π×7²) = 0.583 cm", "B": "3.5 cm", "C": "7 cm", "D": "1.75 cm"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "Cone CSA 4070 cm², diameter 42cm. Slant height? 📐", "options": {"A": "4070/(π×21)≈61.8 cm", "B": "√(21²+4070/π)", "C": "4070/42=96.9 cm", "D": "21+√(4070/π)"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "Sphere volume 179.67π cm³. SA? 📊", "options": {"A": "r=∛[(179.67×3)/4]=7, SA=4π×7²=196π cm²", "B": "r=√(179.67)=13.4, SA=4π×13.4²", "C": "SA=179.67×2", "D": "Cannot find"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Cylinder TSA 2992 cm², height:radius = 3:2. Height? 🛢️", "options": {"A": "Let r=2x, h=3x, 2π×2x(3x+2x)=2992, x=7, h=21 cm", "B": "h=18 cm", "C": "h=24 cm", "D": "h=15 cm"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "Cone volume 1232 cm³, slant height 25cm. Radius? 🔺", "options": {"A": "1232=(1/3)πr²√(25²-r²), solve r=7 cm", "B": "r=14 cm", "C": "r=10 cm", "D": "r=5 cm"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Hemisphere melted into cone radius 21cm, height 28cm. Hemisphere radius? ♻️", "options": {"A": "(2/3)πR³=(1/3)π×21²×28, R=21 cm", "B": "R=14 cm", "C": "R=28 cm", "D": "R=10.5 cm"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "Cylinder radius 5cm, height 12cm painted at ₹0.50/cm². Cost? 🎨", "options": {"A": "TSA=2π×5(12+5)=170π≈534, cost=₹267", "B": "CSA only=₹188.4", "C": "₹500", "D": "₹300"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Sphere SA 154 cm². Volume? 🔄", "options": {"A": "r=√(154/4π)=3.5, V=(4/3)π×3.5³≈179.67 cm³", "B": "V=154×3.5/3", "C": "V=154 cm³", "D": "Cannot find"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "hard", "question": "Cone radius 7cm, height 24cm cut into 2 equal heights. Volume ratio top:bottom? 🔪", "options": {"A": "1:7", "B": "1:3", "C": "1:1", "D": "1:8"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Cylinder radius 14cm, height 30cm filled with cones radius 7cm, height 12cm. How many? 📦", "options": {"A": "(π×14²×30) ÷ [(1/3)π×7²×12] = 30", "B": "15", "C": "20", "D": "25"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "Sphere radius 10.5cm fits exactly in cube. Cube volume minus sphere volume? 🎲", "options": {"A": "(21³) - (4/3)π×10.5³", "B": "21³ - 10.5³", "C": "(10.5³) - sphere vol", "D": "Cube edge=21, calculation"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Cone TSA 704 cm², radius 7cm. Height? 📏", "options": {"A": "704=π×7(l+7), l=25, h=√(25²-7²)=24 cm", "B": "h=20 cm", "C": "h=15 cm", "D": "h=18 cm"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "Cylinder volume 2156 cm³, height 14cm. TSA? 🛢️", "options": {"A": "r=√(2156/(π×14))=7, TSA=2π×7(14+7)=924 cm²", "B": "1232 cm²", "C": "1540 cm²", "D": "1848 cm²"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Hemisphere volume 19404 cm³. CSA? 🌓", "options": {"A": "r=∛[(19404×3)/(2π)]=21, CSA=2π×21²=2772 cm²", "B": "4158 cm²", "C": "1386 cm²", "D": "5544 cm²"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "Cone radius 5cm, height 12cm. Ratio of CSA:TSA? 📊", "options": {"A": "π×5×13 : π×5(13+5)=65:90=13:18", "B": "5:13", "C": "13:5", "D": "18:13"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "Sphere radius increased by 50%. SA increase %? 📈", "options": {"A": "125%", "B": "50%", "C": "100%", "D": "225%"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "Cylinder height 21cm, CSA 1320 cm². Volume? 🔄", "options": {"A": "r=1320/(2π×21)=10, V=π×10²×21=6600 cm³", "B": "13860 cm³", "C": "4200 cm³", "D": "2100 cm³"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Cone, cylinder, sphere same radius & height (h=2r). Volume ratio? ⚖️", "options": {"A": "1:3:2", "B": "1:2:3", "C": "3:1:2", "D": "2:3:1"}, "correct_answer": "A"}
  ]
}