Chapter 12, Problem 17SGR

To determine

To calculate:To find the volume of the cylinder

Answer to Problem 17SGR

The volume of cylinder is $445.3$ cubic centimeters.

Explanation of Solution

Given information:Cylinder is

Formula Used:

Volume of cylinder is given by the below formula:

  $Volume=\pi r^{2}h$

Where,

  $r=$ Radius of cylinder

  $h=$ Height of cylinder

Calculation:

Cylinder is given as follows:

Here, dimensions of cylinder as follows:

  $\begin{array}{l}Radius=4.5cm\\ Height=7cm\end{array}$

Volume prism is calculated as follows:

  $Volume=\pi r^{2}h$

Substituting the values, volume is

  $\begin{array}{l}Volume=\pi {\left(4.5\right)}^2\left(7\right)\\ Volume=\frac{22}{4}\times 4.5\times 4.5\times 7\\ Volume=445.32076\\ Volume\approx 445.3\end{array}$

Conclusion:

Hence, volume of cylinder is $445.3$ cubic centimeters.