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
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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