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Question

Total surface area of a solid hemisphere is 4158cm2, the diameter of the hemisphere is equal to __________ cm.
(Take π = 227)

A
20
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B
21
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C
40
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D
42
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Solution

The correct option is D 42
We know that total surface area of a hemisphere =3πr2

3πr2= 4158
3×227×r2=4158
r2=4158×73×22=2910666=441
r2=441
Hence, r = 21 cm.
Therefore, diameter of solid hemisphere = 2r = 2 × 21 = 42cm.

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