Question

the base radii of two right circular cones of same height in ratio 3:5.find the ratia of their volumes

Answer 1

their volumes are in the ratio 9:25

Answer 2

Let the radii of two right circular cones be r and r'
and height be h and h'
A/q
h=h' and r/r'=3/5
so, the ratio of their volume= (1/3 πr^2h)/(1/3 πr'^2h')= r^2/r'^2= (3)^2/(5)^2= 9/25
so, ratio of their volumes is 9:25.