Question

Ratio between radius of 2 cones are in the ratio 1:2 and heights are in the ratio 3:4.find the ratio between their volume? ​

Answer 1

r1/r2=1:2

h1/h2=3:4

ratio their volume =(1/3πr1^2h1)/(1/3πr2^2h2)

=1^2x3/2^2x4

= 1x3/4x4

=3/16

=3:16

Answer 2

ratio between radius of 2 cones are in the ratio 1:2 and heights are in the ratio 3:4,find the ratio between their volumes

Ans=r1/r2=1/2, h1/h2=3/4

volume of cone =π rsquare h/3

=π.r1square .h1/3 by

π.r2square.h2/3

=π into 1into 3/3 by

π into 2 into 4/3

=1 into 3. by

8

=3/8

therefor the ratio between their volumes is =3/8