The radius of a sphere and a right circular cylinder are equal and their curved surface areas are also equal. The ratio of their volumes is?

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Accepted Answer

Given, 4πr2 = 2πrh ∴ h = 2r Now, required ratio = 4/3πr3 : πr2h = 4r : 3h = 4r : 6r [ ∴ h = 2r] = 2 : 3

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