Question

what is the diameter of a hemisphere with a volume of 22778 m^3 to the nearest tenth of a meter

Answer 1

The volume of a hemisphere is given by:

$V=\frac{2}{3}πr^3$

Solving for r:

$\begin{gathered} 3V=2πr^3 \\ \\ \frac{3V}{2π}=r^3 \\ \\ r=\sqrt[3]{\frac{3V}{2\pi}} \end{gathered}$

Replacing V = 22778 m³:

$r=\sqrt[3]{\frac{3\times(22778m³)}{2\timesπ}}=22.2m$

then; diameter = 44.4 m

ANSWER

d = 44.4 m