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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


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: 7.3 m3


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 m3
Hence, the correct answer is 7.3 m3.

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