Question

Find the volume also question below answer either ABC or D?

Answer 1

We will have the following:

We can see that the object is composed by a half-sphere and a cone, so the volume will be given by:

$V=\frac{2}{3}\pi r^3+\pi r^2\frac{h}{3}$

So:

$\begin{gathered} V=\frac{2}{3}\pi(3m)^3+\pi(3m)^2(5m)\Rightarrow V=63\pi \\ \\ \Rightarrow V\approx103.62m^3 \end{gathered}$

So, the volume of the object is approximately 103.62 m^3.