Chapter 12, Problem 18SGR

To determine

To calculate:To find the volume of the cylinder

Answer to Problem 18SGR

The volume of cylinder is $282.7$ cubic inches.

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:

  $\begin{array}{l}Radius=\frac{Diameter}{2}=\frac{6}{2}in.=3in.\\ Height=10in.\end{array}$

Volume prism is calculated as follows:

  $Volume=\pi r^{2}h$

Substituting the values, volume is

  $\begin{array}{l}Volume=\pi {\left(3\right)}^2\left(10\right)\\ Volume=\frac{22}{4}\times 3\times 3\times 10\\ Volume=282.74334\\ Volume\approx 282.7\end{array}$

Conclusion:

Hence, volume of cylinder is $282.7$ cubic inches.