What is the remaining volume of the cone is removed?

Question

asked May 23, 2023 201k views

1 Answer

Zalak Patel · Answer 1 · 2023-05-28T08:08:07+0000

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

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

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

The final answer

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