A sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises cm. Find the radius of the cylinder.

Volume of a sphere = (4/3)πr^{3}

Volume of a cylinder = πr^{2}h

Let the radius of the cylinder be *r* cm.

Given, sphere of radius 5 cm is immersed in water filled in a cylinder, the level of water rises cm

Volume of the sphere = Volume of the water in the cylinder.

⇒ ×5^{3} = π × *r*^{2} ×

⇒ *r*^{2} = 4×5^{2}

⇒ *r* = 10 cm

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