Question

The radio of the bases of a cylinder and a cone are in the ratio 3:4 if they have their heights in the ratio 2:3 the ratio of their volumes is

Answer 1

Let the radii of the bases of a cylinder and a cone be 3r and 4r.

Let the heights of the bases of a cylinder and a cone be 2h and 3h.

The volume of the cylinder =(pi)(3r)^2(2h) = 18(pi)r^2*h.

The volume of the cone=(pi)(4r)^2(3h)/3 = (16)(pi)r^2*h.

The ratio of the volumes of the cylinder to that of the cone = 18:16 or 9:8.