Question

What is the volume of a hemisphere with a radius of 2.3m round to the nearest tenth of a cubic meter

Answer 1

Answer: $25.5 m^{3}$

Step-by-step explanation:

If the volume of a sphere is

$V=\frac{4}{3} \pi r^{3}$

Where $r=2.3 m$ is the radius

The volume of a hemisphere is half the volume of the total sphere:

$V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}$

$V_{hemisphere}=\frac{2}{3} \pi r^{3}$

Solving this equation:

$V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}$

Finally:

$V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}$