Q60 of 227 Page 917

On increasing each of the radius of the base and the height of a cone by 20% its volume will be increased by

Given: Radius of the base and the height of a cone is increased by 20%


The volume of the cone is : πr2h


New radius = r + r = r = r


Similarly, new radius = h


New Volume = × π × (r)2 × (h) = × πr2h


Increase in volume = × πr2h – πr2h = × πr2h


∴ Increase in % =( × 100 )% = 72.8%


∴ Volume will be increased by 72.8%

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