Question

What is the remaining volume of the cone is removed?

Answer 1

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=(1)/(3)s^2h \\ s=22 \\ h=18 \\ V=(1)/(3)*22^2*18 \\ V=2904 \\ \end{gathered}`

Step 2

Volume of cone

`\begin{gathered} V=(1)/(3)\pi r^2h \\ \\ diameter=22 \\ radius=11 \\ h=18 \\ \\ V=(1)/(3)*\pi*11^2*18 \\ \\ 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}`