Show if the total surface area of a sphere is same that of the total lateral surface of a right circular cylinder and if that is enclosed.
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Proved !!
Let the radius of the sphere be r cm.
Then,
Surface area of the sphere = 4πr² cm² ...(i)
The radius and height of a right circular cylinder that just encloses the sphere of radius r and 2r respectively.
Surface area of the cylinder = 2πr x 2r
= 4πr² cm² ...(ii)
From (i) and (ii), we have
Surface area of the sphere is equal to the surface area of the cylinder that just encloses the sphere.
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Holaaa Mate.
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