{
  "title": "Volume of Cone - Grade 9 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is volume of cone with radius 7 cm and height 12 cm? (π=22/7)", "options": {"A": "616 cm³", "B": "626 cm³", "C": "636 cm³", "D": "646 cm³"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Formula for volume of cone?", "options": {"A": "1/3 πr²h", "B": "πr²h", "C": "1/2 πr²h", "D": "2/3 πr²h"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Volume of cone: r=3.5 cm, h=12 cm. (π=22/7)", "options": {"A": "154 cm³", "B": "164 cm³", "C": "174 cm³", "D": "184 cm³"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "If radius doubled, volume becomes?", "options": {"A": "4 times", "B": "2 times", "C": "8 times", "D": "same"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Volume of cone: r=14 cm, h=15 cm. (π=22/7)", "options": {"A": "3080 cm³", "B": "3180 cm³", "C": "3280 cm³", "D": "3380 cm³"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Cone volume is ___ of cylinder with same base and height.", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "3/4"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Volume: r=10.5 cm, h=8 cm. (π=22/7)", "options": {"A": "924 cm³", "B": "934 cm³", "C": "944 cm³", "D": "954 cm³"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "If height tripled, volume becomes?", "options": {"A": "3 times", "B": "6 times", "C": "9 times", "D": "27 times"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Volume: r=21 cm, h=8 cm. (π=22/7)", "options": {"A": "3696 cm³", "B": "3796 cm³", "C": "3896 cm³", "D": "3996 cm³"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Find volume if r=6 cm, h=7 cm. (π=22/7)", "options": {"A": "264 cm³", "B": "274 cm³", "C": "284 cm³", "D": "294 cm³"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Volume of cone with diameter 14 cm, height 12 cm. (π=22/7)", "options": {"A": "616 cm³", "B": "626 cm³", "C": "636 cm³", "D": "646 cm³"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "If volume=154 cm³, r=3.5 cm, find h. (π=22/7)", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Volume formula in terms slant height?", "options": {"A": "1/3 πr²√(l²-r²)", "B": "πrl", "C": "1/2 πr²l", "D": "πr²l"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "r=5 cm, h=12 cm, l=13 cm. Volume? (π=3.14)", "options": {"A": "314 cm³", "B": "324 cm³", "C": "334 cm³", "D": "344 cm³"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Volume: r=2.1 cm, h=8.4 cm. (π=22/7)", "options": {"A": "38.808 cm³", "B": "48.808 cm³", "C": "58.808 cm³", "D": "68.808 cm³"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Cone and cylinder same base, height. Ratio volumes?", "options": {"A": "1:3", "B": "3:1", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Volume=462 cm³, h=9 cm. Find r. (π=22/7)", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "If radius halved, volume becomes?", "options": {"A": "1/8 times", "B": "1/4 times", "C": "1/2 times", "D": "same"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Volume: r=4.2 cm, h=10.5 cm. (π=22/7)", "options": {"A": "194.04 cm³", "B": "204.04 cm³", "C": "214.04 cm³", "D": "224.04 cm³"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "d=28 cm, h=15 cm. Volume? (π=22/7)", "options": {"A": "3080 cm³", "B": "3180 cm³", "C": "3280 cm³", "D": "3380 cm³"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "The volume of cone is 308 cm³ and height 12 cm. Find radius. (π=22/7)", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "A cone has slant height 25 cm and radius 7 cm. Find volume. (π=22/7)", "options": {"A": "1232 cm³", "B": "1332 cm³", "C": "1432 cm³", "D": "1532 cm³"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "If cone radius increased by 50%, volume increases by?", "options": {"A": "125%", "B": "150%", "C": "175%", "D": "200%"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "The volume of cone is 616 cm³. If radius 7 cm, find height. (π=22/7)", "options": {"A": "12 cm", "B": "13 cm", "C": "14 cm", "D": "15 cm"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "A cone and hemisphere have equal base radii. Cone height = 2×radius. Ratio of volumes?", "options": {"A": "1:1", "B": "2:1", "C": "1:2", "D": "3:2"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Find volume of cone with circumference of base 44 cm and height 12 cm. (π=22/7)", "options": {"A": "616 cm³", "B": "626 cm³", "C": "636 cm³", "D": "646 cm³"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "The ratio of volumes of two cones is 8:27. If heights equal, find ratio of radii.", "options": {"A": "2:3", "B": "3:2", "C": "4:9", "D": "9:4"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "A conical tent is 8 m high, base radius 6 m. Find volume. (π=3.14)", "options": {"A": "301.44 m³", "B": "311.44 m³", "C": "321.44 m³", "D": "331.44 m³"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "If cone height doubled and radius halved, volume becomes?", "options": {"A": "1/2 times", "B": "same", "C": "2 times", "D": "1/4 times"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "The volume of cone is 4620 cm³. If height 15 cm, find radius. (π=22/7)", "options": {"A": "14 cm", "B": "15 cm", "C": "16 cm", "D": "17 cm"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "A cone has volume equal to cylinder of height 9 cm. If radii equal, find cone height.", "options": {"A": "27 cm", "B": "28 cm", "C": "29 cm", "D": "30 cm"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Find volume of cone with base area 154 cm² and height 18 cm. (π=22/7)", "options": {"A": "924 cm³", "B": "934 cm³", "C": "944 cm³", "D": "954 cm³"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Two cones have equal heights. Radii ratio 3:4. Find volume ratio.", "options": {"A": "9:16", "B": "16:9", "C": "3:4", "D": "4:3"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "A cone of height 24 cm has volume 1232 cm³. Find radius. (π=22/7)", "options": {"A": "7 cm", "B": "8 cm", "C": "9 cm", "D": "10 cm"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "If cone melted to form cylinder of same radius, find ratio of heights.", "options": {"A": "1:3", "B": "3:1", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Volume of cone is 1/3 of hemisphere with same radius. Find cone height.", "options": {"A": "2r", "B": "r", "C": "3r", "D": "r/2"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "A conical vessel radius 7 cm, height 24 cm, full of water. Water poured into cylinder radius 14 cm. Find height. (π=22/7)", "options": {"A": "2 cm", "B": "3 cm", "C": "4 cm", "D": "5 cm"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "The volume of cone is 2156 cm³. If slant height 25 cm, find radius. (π=22/7)", "options": {"A": "14 cm", "B": "15 cm", "C": "16 cm", "D": "17 cm"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Two cones have volumes in ratio 1:8. If radii equal, find ratio of heights.", "options": {"A": "1:8", "B": "8:1", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Find volume of cone with base diameter 42 cm and slant height 35 cm. (π=22/7)", "options": {"A": "12936 cm³", "B": "13936 cm³", "C": "14936 cm³", "D": "15936 cm³"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "A right triangle with sides 6 cm, 8 cm, 10 cm revolved about 8 cm side. Find volume of cone formed. (π=3.14)", "options": {"A": "301.44 cm³", "B": "311.44 cm³", "C": "321.44 cm³", "D": "331.44 cm³"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "From solid cylinder of height 15 cm and radius 7 cm, conical cavity of same height and radius carved out. Find volume of remaining solid. (π=22/7)", "options": {"A": "1540 cm³", "B": "1640 cm³", "C": "1740 cm³", "D": "1840 cm³"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "A cone of maximum size carved from cube of edge 14 cm. Find volume of cone. (π=22/7)", "options": {"A": "718.67 cm³", "B": "728.67 cm³", "C": "738.67 cm³", "D": "748.67 cm³"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "The volume of cone is 1/2 of volume of cylinder. If heights equal, find ratio of radii.", "options": {"A": "1:√2", "B": "√2:1", "C": "1:2", "D": "2:1"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "hard", "question": "A cone of height 24 cm is cut by plane parallel to base at 12 cm from vertex. Find ratio of volumes of two parts.", "options": {"A": "1:7", "B": "1:8", "C": "1:9", "D": "1:10"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "A sphere of radius 6 cm melted to form cone of radius 3 cm. Find height of cone.", "options": {"A": "96 cm", "B": "97 cm", "C": "98 cm", "D": "99 cm"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "The curved surface area of cone is 550 cm² and slant height 25 cm. Find volume. (π=22/7)", "options": {"A": "1232 cm³", "B": "1332 cm³", "C": "1432 cm³", "D": "1532 cm³"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "A cone and sphere have equal volumes. If cone height = 2×radius, find ratio of radius of cone to sphere.", "options": {"A": "1:1", "B": "2:1", "C": "1:2", "D": "√2:1"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "From solid cone of height 12 cm and base radius 6 cm, hemisphere of radius 3 cm scooped out from base. Find volume of remaining solid. (π=3.14)", "options": {"A": "376.8 cm³", "B": "386.8 cm³", "C": "396.8 cm³", "D": "406.8 cm³"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "The volume of cone is numerically equal to its curved surface area. If radius 7 cm, find height. (π=22/7)", "options": {"A": "21 cm", "B": "22 cm", "C": "23 cm", "D": "24 cm"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Cone volume=308, h=12. r? (π=22/7)", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "Cone l=25, r=7. Volume? (π=22/7)", "options": {"A": "1232", "B": "1332", "C": "1432", "D": "1532"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Radius +50%. Volume increase?", "options": {"A": "125%", "B": "150%", "C": "175%", "D": "200%"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Volume=616, r=7. h? (π=22/7)", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Cone & hemisphere equal r. Cone h=2r. Volume ratio?", "options": {"A": "1:1", "B": "2:1", "C": "1:2", "D": "3:2"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "Base circumference=44, h=12. Volume? (π=22/7)", "options": {"A": "616", "B": "626", "C": "636", "D": "646"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Two cones volumes 8:27, heights equal. Radii ratio?", "options": {"A": "2:3", "B": "3:2", "C": "4:9", "D": "9:4"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Conical tent r=6, h=8. Volume? (π=3.14)", "options": {"A": "301.44", "B": "311.44", "C": "321.44", "D": "331.44"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "h doubled, r halved. Volume?", "options": {"A": "1/2 times", "B": "same", "C": "2 times", "D": "1/4 times"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Volume=4620, h=15. r? (π=22/7)", "options": {"A": "14", "B": "15", "C": "16", "D": "17"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Cone volume = cylinder volume. Radii equal. Cylinder h=9. Cone h?", "options": {"A": "27", "B": "28", "C": "29", "D": "30"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Base area=154, h=18. Volume? (π=22/7)", "options": {"A": "924", "B": "934", "C": "944", "D": "954"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Two cones equal h, radii 3:4. Volume ratio?", "options": {"A": "9:16", "B": "16:9", "C": "3:4", "D": "4:3"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Cone h=24, volume=1232. r? (π=22/7)", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Cone melted to cylinder same r. Height ratio?", "options": {"A": "1:3", "B": "3:1", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Cone volume = 1/3 hemisphere same r. Cone h?", "options": {"A": "2r", "B": "r", "C": "3r", "D": "r/2"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Conical vessel r=7, h=24 to cylinder r=14. Height?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Volume=2156, l=25. r? (π=22/7)", "options": {"A": "14", "B": "15", "C": "16", "D": "17"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Two cones volumes 1:8, radii equal. Heights ratio?", "options": {"A": "1:8", "B": "8:1", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "d=42, l=35. Volume? (π=22/7)", "options": {"A": "12936", "B": "13936", "C": "14936", "D": "15936"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "hard", "question": "Triangle 6,8,10 revolved about 8. Volume? (π=3.14)", "options": {"A": "301.44", "B": "311.44", "C": "321.44", "D": "331.44"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "hard", "question": "Cylinder h=15, r=7, conical cavity same. Remaining volume? (π=22/7)", "options": {"A": "1540", "B": "1640", "C": "1740", "D": "1840"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "hard", "question": "Cone from cube edge 14. Volume? (π=22/7)", "options": {"A": "718.67", "B": "728.67", "C": "738.67", "D": "748.67"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "hard", "question": "Cone volume = 1/2 cylinder volume, heights equal. Radii ratio?", "options": {"A": "√2:1", "B": "1:√2", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "hard", "question": "Cone h=24 cut at 12. Volume ratio parts?", "options": {"A": "1:7", "B": "1:8", "C": "1:9", "D": "1:10"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "hard", "question": "Sphere r=6 to cone r=3. Cone h?", "options": {"A": "96", "B": "97", "C": "98", "D": "99"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "hard", "question": "CSA=550, l=25. Volume? (π=22/7)", "options": {"A": "1232", "B": "1332", "C": "1432", "D": "1532"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "hard", "question": "Cone & sphere equal volumes. Cone h=2r. Radius ratio?", "options": {"A": "1:1", "B": "2:1", "C": "1:2", "D": "√2:1"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "hard", "question": "Cone h=12, r=6, hemisphere r=3 scooped. Remaining volume? (π=3.14)", "options": {"A": "376.8", "B": "386.8", "C": "396.8", "D": "406.8"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "hard", "question": "Volume = CSA numerically. r=7. h? (π=22/7)", "options": {"A": "21", "B": "22", "C": "23", "D": "24"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "easy", "question": "Cone r=7, h=12. Volume? (π=22/7)", "options": {"A": "616", "B": "626", "C": "636", "D": "646"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "easy", "question": "Cone volume formula?", "options": {"A": "1/3 πr²h", "B": "πr²h", "C": "1/2 πr²h", "D": "2/3 πr²h"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "easy", "question": "r=3.5, h=12. Volume? (π=22/7)", "options": {"A": "154", "B": "164", "C": "174", "D": "184"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "easy", "question": "Radius doubled. Volume becomes?", "options": {"A": "4 times", "B": "2 times", "C": "8 times", "D": "same"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "easy", "question": "r=14, h=15. Volume? (π=22/7)", "options": {"A": "3080", "B": "3180", "C": "3280", "D": "3380"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "medium", "question": "Cone volume to cylinder same base, height?", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "3/4"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "medium", "question": "r=10.5, h=8. Volume? (π=22/7)", "options": {"A": "924", "B": "934", "C": "944", "D": "954"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "medium", "question": "Height tripled. Volume becomes?", "options": {"A": "3 times", "B": "6 times", "C": "9 times", "D": "27 times"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "medium", "question": "r=21, h=8. Volume? (π=22/7)", "options": {"A": "3696", "B": "3796", "C": "3896", "D": "3996"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Triangle 6,8,10 revolved about 8. Volume?", "options": {"A": "301.44", "B": "311.44", "C": "321.44", "D": "331.44"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Cylinder h=15, r=7, conical cavity. Remaining volume?", "options": {"A": "1540", "B": "1640", "C": "1740", "D": "1840"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "easy", "question": "r=6, h=7. Volume? (π=22/7)", "options": {"A": "264", "B": "274", "C": "284", "D": "294"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "easy", "question": "d=14, h=12. Volume? (π=22/7)", "options": {"A": "616", "B": "626", "C": "636", "D": "646"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "medium", "question": "Volume=154, r=3.5. h? (π=22/7)", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "medium", "question": "r=5, h=12, l=13. Volume? (π=3.14)", "options": {"A": "314", "B": "324", "C": "334", "D": "344"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "Cone from cube edge 14. Volume?", "options": {"A": "718.67", "B": "728.67", "C": "738.67", "D": "748.67"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Cone & sphere equal volumes. Cone h=2r. Radius ratio?", "options": {"A": "1:1", "B": "2:1", "C": "1:2", "D": "√2:1"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "easy", "question": "r=2.1, h=8.4. Volume? (π=22/7)", "options": {"A": "38.808", "B": "48.808", "C": "58.808", "D": "68.808"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "easy", "question": "Cone & cylinder same base, height. Volume ratio?", "options": {"A": "1:3", "B": "3:1", "C": "1:2", "D": "2:1"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "medium", "question": "Volume=462, h=9. r? (π=22/7)", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "A"}
  ]
}