Question

What is the remaining volume of the cone is removed?

Answer 1

Solution

We are going to find the volume square pyramid and Volume of the cone and then find the difference

Step 1

volume square pyramid

$\begin{gathered} V=\frac{1}{3}s^2h \\ s=22 \\ h=18 \\ V=\frac{1}{3}\times22^2\times18 \\ V=2904 \\ \end{gathered}$

Step 2

Volume of cone

$\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \\ diameter=22 \\ radius=11 \\ h=18 \\ \\ V=\frac{1}{3}\times\pi\times11^2\times18 \\ \\ V=2280.79626 \\ \end{gathered}$

Step 3

The difference

$2904-2280.79626=623.20374$

The final answer

$623.2\text{ \lparen nearest 0.1\rparen}$