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Volume and Surface Area of Solid Figures

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  1. 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 ?
    1. 3 : 4
    2. 2 : 3
    3. 3 : 2
    4. 4 : 3
Correct Option: B

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


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