Chapter 12, Problem 19SGR

To determine

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

Answer to Problem 19SGR

The volume of can is $18.9$ cubic inches

Explanation of Solution

Given information:A $12-$ ounce can of soda measures $4\frac{3}{4}$ inches high with radius of $1\frac{1}{8}$ inches

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:

Given that a $12-$ ounce can of soda measures $4\frac{3}{4}$ inches high with radius of $1\frac{1}{8}$ inches

Here, dimensions of cylinder as follows:

  $\begin{array}{l}Radius=1\frac{1}{8}=\frac{9}{8}\\ Height=4\frac{3}{4}=\frac{19}{4}\end{array}$

Volume prism is calculated as follows:

  $Volume=\pi r^{2}h$

Substituting the values, volume is

  $\begin{array}{l}Volume=\pi {\left(\frac{9}{8}\right)}^2\left(\frac{19}{4}\right)\\ Volume=\frac{22}{7}\times \frac{9}{8}\times \frac{9}{8}\times \frac{19}{4}\\ Volume=\frac{33858}{1792}\\ Volume=18.89\\ Volume\approx 18.9\end{array}$

Conclusion:

Hence, volume of can is $18.9$ cubic inches