Chapter 12, Problem 20SGR

To determine

To calculate:To find the volume of the figure and round to the nearest tenth

Answer to Problem 20SGR

The volume of figure is $84.8$ cubic inches

Explanation of Solution

Given information:Figure is

Formula Used:

Volume of cone is given by the below formula:

  $Volume=\frac{1}{3}\pi r^{2}h$

Where,

  $r=$ Radius of cone

  $h=$ Height of cone

Calculation:

Figure is given as follows:

Here, dimensions of cone as follows:

  $\begin{array}{l}Radius=3\\ Height=9\end{array}$

Volume of cone is calculated as follows:

  $Volume=\frac{1}{3}\pi r^{2}h$

Substituting the values, volume is

  $\begin{array}{l}Volume=\frac{1}{3}\times \frac{22}{7}\times {\left(3\right)}^2\times 9\\ Volume=\frac{1}{3}\times \frac{22}{7}\times 3\times 3\times 9\\ Volume=\frac{1}{1}\times \frac{22}{7}\times 3\times 1\times 9\\ Volume=\frac{22\times 3\times 9}{7}\\ Volume=84.82\\ Volume\approx 84.8\end{array}$

Conclusion:

Hence, volume of figure is $84.8$ cubic inches