A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is *r,* then the volume of the cylinder is

Volume of a sphere = (4/3)πr^{3}

Volume of a cylinder = πr^{2}h

Given, sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder and the radius of the sphere is *r*

Thus, height of the cylinder = diameter = 2r and base radius = r

Volume of the cylinder = π × r^{2} × 2r = 2πr^{3}

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