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Question

If radius of cone decreases by 50% and its height increases by 20%. Then find the percentage change in the volume.

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Solution

Let initial radius and height of cone be r and h respectively.

Then the final raidus and height will become r0.5r and h+0.2h.

Let the change in volume be X

Change in volume× Volume of Cone without change=Volume of Cone after change

X×13×π×r2×h=13×π×(0.5r)2×1.2h

X=0.3

Which means 70% decrease

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