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A hemisphere of radius 6 cm is carved out of a sphere. What is the volume of this hemisphere?

1. 72*pi cm^3
2. 144*pi cm^3
3. 216*pi cm^3
4. 288*pi cm^3

Correct answer: 144*pi cm^3

Solution

Volume of a hemisphere = (2/3)*pi*r^3. With r = 6, r^3 = 216, so the volume = (2/3)*pi*216 = 144*pi cm^3.

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