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Question

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

A
3π(R2+r2)
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B
π(3R2+r2)
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C
π(R2+3r2)
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D
2π(R2+r2)
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Solution

The correct option is B π(3R2+r2)

TSA of hollow hemisphere = CSA of inner hemispherical surface + CSA of outer hemispherical surface + Area of shaded annular disc.
=2πr2+2πR2+π(R2r2)=πr2+3πR2=π(3R2+r2)

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