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Question

If two cones have their heights in the ratio 1 : 3 and radii 3 :1 then the ratio of their volumes is
  1. 1:3
  2. 3:1
  3. 2:3
  4. 3:2

A
2:3
B
3:2
C
1:3
D
3:1
Solution
Verified by Toppr

Let the height two cones are x and 3x and radius are 3y and y

Volume of cone =13πr2h
Then volume of first cone =13π(3y)2x=93π×xy2

And volume of second cone =13π(y)2×3x=13π×3xy2

Then the ratio of cones=93πxy233πxy2=31 or 3:1

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