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Question

A right circular cylinder just encloses a sphere of radius r.
Find curved surface area of the cylinder.

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Solution

Just encloses means radius of sphere and cylinder will be same and height of cylinder would be equal to the diameter of the sphere.
i.e.
Radius of cylinder = r
Height of cylinder = 2r

Therefore, Curved Surface area of the cylinder = 2πrh=2πr×2r = 4πr2

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