Find 1/12th of the volume of a hemisphere whose radius radius is 4.2 m.
Answer & explanation
Correct answer: option 2
Volume of a hemisphere = $\frac{2}{3} \pi r^3$
radius = 4.2
Volume = $\frac{2}{3} \pi 4.2^3$
= $\frac{2}{3} \frac{22}{7} 4.2 \times 4.2 \times 4.2$
= 2 x 22 x 0.2 x 4.2 x 4.2
= 155.232 m³
1/12th of the volume = $\frac{1}{12}$ x 155.232
= 7.3 m³