Question

Two cones have their heights in the ratio of 1:2 and the radii of their bases in the ratio 2:1 . Find the ratio of their volumes

Answer 1

Answer:

let the height of one cone be H and that of the other cone be h

H:h=1:2     Where H=1&h=2

Similarly for radii,

R:r=2:1      Where R=2&r=1

Volume of cone=$1/3\pi r^{2} h$

Ratio=V(cone 1)/V(cone 2)

$1/3\pi R^{2}H /1/3\pi r{2}h$

by simplification,

V(cone 1)/V(cone 2)=2/1

Therefore,Volume of cone 1:Volume of cone 2=2:1