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Question
On increasing each of the radius of the base and the height of a cone by 20% its volume will be increased by
(a) 20% (b) 40% (c) 60% (d) 72.8%
On increasing each of the radius of the base and the height of a cone by 20% its volume will be increased by
(a) 20% (b) 40% (c) 60% (d) 72.8%
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Solution
Base radius of cone = R
height = H
Volume =
R²
H
New radius: 
R = 1.2 R
New height : 
H = 1.2 H
New Volume = 
1.2² R² 
1.2 H = 1.728 V
Increase in volume = 
= 72.8 %
option d is correct
Base radius of cone = R
height = H
Volume = R² H
New radius: R = 1.2 R
New height : H = 1.2 H
New Volume = 1.2² R² 1.2 H = 1.728 V
Increase in volume =
= 72.8 %
option d is correct
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