Relation between slant height and height of a right circular cone
The base radi...
Question
The base radii of two right circular cones of the same height are in the ratio 3 : 5. The ratio of their volumes is
A
25:9
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B
9:25
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C
r22:r21
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D
2r21:r22
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Solution
The correct option is B9:25 Let r1andr2be the radii of two cones and V1andV2their volumes. Let h be the height of the two cones, then V1=13πr21handV2=13πr22h V1V2=13πr21h13πr22h=r21r22=925(∵r1:r2=3:5)