The volume of a solid hemisphere of radius 2 cm is
- $\displaystyle \frac{352}{21}m^{3}$
- $\displaystyle 576m^{3}$
- $\displaystyle \frac{376}{9}m^{3}$
- $\displaystyle 600m^{3}$
Reveal answer
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A
Correct answer
Explanation
The volume of a hemisphere is (2/3)πr^3. For r = 2 cm, this is (2/3)π(8) = 16π/3 cm^3, approximately 352/21 cm^3 using π = 22/7. The numerical answer matches option A, but its displayed unit should be cm^3, not m^3.
AI explanation
The volume of a solid hemisphere is given by the formula (2/3)pi*r^3. Substituting the radius of 2 cm into the formula gives (2/3)(22/7)2^3. Calculating this results in (2/3)(22/7)*8, which equals 352/21. The result is 352/21.