Chapter 12.4, Problem 8PPS

To determine

The volume of the each figure:

  

Answer to Problem 8PPS

The volume of the figure is $9.975f{t}^3$ .

Explanation of Solution

Given:

  

  $\begin{array}{l}h=3.5ft\\ B=5.7f{t}^2\end{array}$

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:

  $\begin{array}{l}V=\pi r^2\frac{h}{3}\\ V=\frac{Ah}{3}\end{array}$

Where,

Base circle area: $A=B=\pi r^2$

Put the given data in eq.

  $\begin{array}{l}V=\frac{Bh}{3}\\ V=\frac{5.7\times 3.5}{3}\\ V=\frac{19.95}{3}\\ V=9.975f{t}^3\end{array}$

Conclusion:

Hence, the volume of the figure is $9.975f{t}^3$