TSA of hollow hemisphere of outer radius R and inner radius r is _______.

3 π (R^{2} + r^{2})

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π (3 R^{2} + r^{2})

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π (R^{2} + 3 r^{2})

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2 π (R^{2} + r^{2})

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Solution

The correct option is B $π (3 R^{2} + r^{2})$

TSA of hollow hemisphere = CSA of inner hemispherical surface + CSA of outer hemispherical surface + Area of shaded annular disc.
$= 2 π r^{2} + 2 π R^{2} + π (R^{2} - r^{2}) = π r^{2} + 3 π R^{2} = π (3 R^{2} + r^{2})$

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