Question

a sphere is placed in a cylinder.It touches the top, bottom and curved surface of the cylinder. If the radius of the base of the cylinder is 'R' .What is the ratio of the radius of the sphere and the cylinder?

Answer 1

radius of cylinder is equal to radius of sphere
so ratio is 1

Answer 2

The ratio of radius of sphere and the radius of cylinder is equal to 1.

• Given :

A sphere is placed inside a cylinder such that the sphere touches the top bottom and the curved surface of the cylinder.

• Therefore, the diameter of the sphere is equal to the diameter of the base of the cylinder as the sphere touches the boundary of the cylinder.

• Hence,

radius (sphere) = radius (cylinder)

• Ratio will be equal to:

radius (sphere) / radius (cylinder) = 1