The height and base radius of a cone are each increased by 100 The volume of the cone now becomes ........

Quantitative Aptitude ( CCS) Mensuration 2D

The height and base radius of a cone are each increased by 100%. The volume of the cone now becomes.

Double the original

Four times the original

Three times the original

Eight times the original

Let initial height and radius of a cone is h and r respectively

So , initial volume =13πr²h

Now if height and radius are increased by 100% then new radius=2r and new height=2h

So final volume =1/3π(2r)²(2h) = 8 1/3πr²h =8(initial volume)

So new volume is 800% of initial volume

Hence, option 4 is the correct answer.

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