Question

Two similar cones have volumes of 3970cm3 and 3100 cm3 respectively.

The height of the larger cone is 25cm.
Calculate the height of the smaller cone.

Answer 1

The height of the smaller cone is 19.52 cm

Explanation:

Given that,

The volume of cone 1, V₁ = 3970 cm³

The volume of cone 2, V₂ = 3100 cm³

The height of the larger cone, h₁ = 25 cm

We need to find the height of the smaller cone. Let it is h₂. For similar cones,

`(V_1)/(V_2)=(h_1)/(h_2)`

Put values,

`h_2=(h_1V_2)/(V_1)\\\\h_2=(25* 3100)/(3970)\\h_2=19.52\ cm`

So, the height of the smaller cone is 19.52 cm.