Question

What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?

Answer 1

We're going through all the shapes.

A sphere has volume

$V_{\textrm{sphere}}= \frac 4 3 \pi r^3$

A hemisphere has half the volume and a radius is half a diameter.

$V= \frac 1 2 (\frac 4 3) \pi (\frac d 2)^3 = \frac{1}{12} \pi d^3$

$V = \frac{\pi}{12} (8.9)^3 \approx 184.6 \textrm{ cc}$