A solid is a cylinder of radius r whose height is 2r, with a hemisphere of radius r fixed on its top. Its total volume is:

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Accepted Answer

8/3 π r^3. Cylinder = \π r^2 (2r) = 2\π r^3 . Hemisphere = 2/3\π r^3 . Total = 2\π r^3 + 2/3\π r^3 = 8/3\π r^3 . 7/3\π r^3 uses 1/3\π r^3 for the hemisphere; 4/3\π r^3 is a whole sphere and ignores the cylinder; 2\π r^3 is the cylinder alone.

A solid is a cylinder of radius $r$ whose height is $2 r$ , with a hemisphere of radius $r$ fixed on its top. Its total volume is:

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