Question : Find $\frac{1}{21}$th of the volume of a hemisphere whose radius is 4.2 m.
Option 1: 6.6 m3
Option 2: 7.3 m3
Option 3: 8.2 m3
Option 4: 7.1 m3
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Correct Answer: 7.3 m 3
Solution : Radius, $r$ = 4.2 m Volume of the hemisphere = $\frac{2}{3} \pi r^3$ = $\frac{2}{3}×\frac{22}{7}×4.2^3$ = 2 × 22 × 0.2 × 4.2 × 4.2 = 155.232 So, $\frac{1}{21}$th of the volume of the hemisphere = $\frac{155.232}{21}$ = 7.3 m 3 Hence, the correct answer is 7.3 m 3 .
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