A right circular cylinder circumscribes a sphere of radius r. Find the – InterviewSolution

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1.	A right circular cylinder circumscribes a sphere of radius r. Find the ratio of the surface area of the sphere to the curved surface area of the cylinder.
Answer» As cylinder circumscribes a sphere of radius `r`. `:.` Height of cyllinder, `h = 2r` Surface area of sphere `S_s = 4pir^2` Surface area of cyllinder `S_c = 2pirh = 2pir(2r) = 4pir^2` `:.` Ratio of the surface area of the sphere to the curved surface area of the cylinder `= S_s/S_c = (4pir^2)/(4pir^2) = 1/1`

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