Chapter 12.4, Problem 7PPS

To determine

The volume of the each figure:

  

Answer to Problem 7PPS

The volume of the figure is $235.62f{t}^3$ .

Explanation of Solution

Given:

  

  $\begin{array}{l}h=15ft\\ d=5ft\end{array}$

Concept Used:

The volume of the right circular cone is given by the following expression:

  $V=\pi r^2\frac{h}{3}$

Where,

Radius of cone: $r$

Height of cone: $h$

Calculation:

The volume of the right circular cone is given by the following expression:

  $V=\pi r^2\frac{h}{3}$

Put the given data in eq.

  $\begin{array}{l}V=\pi r^2\frac{h}{3}\\ V=\pi {\left(5\right)}^2\frac{9}{3}\\ V=\pi \times 25\times 3\\ V=235.62f{t}^3\end{array}$

Conclusion:

Hence, the volume of the figure is $235.62f{t}^3$