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A hemisphere is inscribed inside a cube whose edge is 8 cm. Find the volume of the hemisphere.

1. 134.04 cm^3
2. 144.24 cm^3
3. 124.56 cm^3
4. 150.88 cm^3

Correct answer: 134.04 cm^3

Solution

The biggest hemisphere fitting inside the cube rests on one face with radius equal to half the edge, so r = 4 cm. Its volume is (2/3)pi r^3 = (2/3)pi(64), about 134.04 cm^3.

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