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Question

If the ratio of heights of two cones of equal volumes is 16:9, then their base areas are in the ratio ___________.
  1. 3:4
  2. 4:3
  3. 9:16
  4. 16:9

A
9:16
B
16:9
C
3:4
D
4:3
Solution
Verified by Toppr

Let the heights and base areas of two cones be h1,h2 and A1,A2, respectively.


Given, h1:h2=16:9.

Since, the volumes are equal.

Then, V1=V2.


13A1h1=13A2h2


A1A2=h2h1


A1A2=916=9:16.

Hence, option B is correct.

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