Chapter 12.4, Problem 1CYU

To determine

The volume of the figure:

Answer to Problem 1CYU

The volumeof the figure is $115.45i{n}^3$ .

Explanation of Solution

Given:

  $\begin{array}{l}h=9in\\ d=7in\end{array}$

Concept Used:

The volume of the right circular coneis given by the following expression:

  $V=\pi r^2\frac{h}{3}$

Where,

Radius ofcone: $r$

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.

  $V=\pi r^2\frac{h}{3}$

  $V=\pi {\left(\raisebox{1ex}{$d$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)}^2\frac{h}{3}$

  $V=\pi {\left(\raisebox{1ex}{$7$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)}^2\frac{9}{3}$

  $\begin{array}{l}V=\pi \times 12.25\times 3\\ V=115.45i{n}^3\end{array}$

Conclusion:

Hence, the volume of the figureis $115.45i{n}^3$ .