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%