Question

A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surfaces are in the ratio 8 : 5, determine the ratio of the radius of the base to the height of either of them.

Answer 1

For right circular cylinder, let r₁ = r, h₁ = h.

For right circular cone, let r₂ = r, h₂ = h

Divide (i) and (ii),