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=(2)/(3)πr^3`

Solving for r:

`\begin{gathered} 3V=2πr^3 \\ \\ (3V)/(2π)=r^3 \\ \\ r=\sqrt[3]{(3V)/(2\pi)} \end{gathered}`

Replacing V = 22778 m³:

`r=\sqrt[3]{(3*(22778m³))/(2*π)}=22.2m`

then; diameter = 44.4 m

ANSWER

d = 44.4 m