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Question

If the volume and surface area of a sphere are numerically the same, then its radius is __________.

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Solution


Let r be the radius of sphere.

Volume of the sphere = 43πr3 cu. units

Surface area of the sphere = 4πr2 sq. units

It is given that the volume and surface area of sphere are numerically same.

43πr3=4πr2

⇒ r = 3 units

Thus, the radius of sphere is 3 units.

If the volume and surface area of a sphere are numerically the same, then its radius is ___3 units___.

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