Chapter 12.4, Problem 9PPS

To determine

The volume of the each figure:

  

Answer to Problem 9PPS

The volume of the figure is $4.71f{t}^3$ .

Explanation of Solution

Given:

  

  $\begin{array}{l}h=2ft\\ d=3ft\end{array}$

Concept Used:

The volume of the pyramid is given by the following expression:

  $V=\pi r^2\frac{h}{3}$

Where,

Radius of pyramid: $r$

Height of pyramid: $h$

Calculation:

The volume of the pyramid is given by the following expression:

  $V=\pi r^2\frac{h}{3}$

Put the given data in eq.

  $\begin{array}{l}V=\pi r^2\frac{h}{3}\\ V=\pi {\left(\raisebox{1ex}{$d$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)}^2\frac{h}{3}\\ V=\pi {\left(\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)}^2\frac{2}{3}\\ V=4.71f{t}^3\end{array}$

Conclusion:

Hence, the volume of the figure is $4.71f{t}^3$