Question

The volume of a right circular cylinder and a sphere are equal and their radii are also equal if the height of the cylinder be h and the diameter of the sphere d then the ratio of h:d is

Answer 1

Let r = Radius of cylinder = Radius of sphere, h = Height of the cylinder.

According to the question,

4/3πr cube=πr sq. h

=> h=4/3r=>4r=3h

=> 2r=3/2h=>2r/h=3/2

Therefore, Required ratio = 3 : 2

Hope it helpss