Q. 9 5.0( 1 Vote )

If the heights of two right circular cones are in the ratio 1:2 and the perimeters of their bases are in ratio 3:4, what is the ratio of their volumes?

Answer :

The ratio of their volumes is 9:32.

Given: heights are in ratio 1:2

Perimeters of bases are in ratio 3:4

Formula Used:

The volume of cone =


Let height be H and h

Radius be R and r

Acc. to question,

h = 2H

As the bases are circular,

The perimeter of base = 2πr

Acc. to question,


Hence, the ratio of their volumes is 9:32.

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