# Question #2c096

Oct 13, 2017

The answer is 96 $\pi$ or 301.5928 ${m}^{3}$

#### Explanation:

The formula to be used in obtaining the volume of a cylinder is:

$V = \pi {r}^{2} h$

but since you have the inner radius ${r}_{i}$ and the outer radius ${r}_{o}$, you will plug that in the formula, resulting to:

$V = \pi \left({r}_{o}^{2} - {r}_{i}^{2}\right) \cdot h$

then plug in all the given values to the resulting formula

${r}_{o} = 5 m$
${r}_{i} = 3 m$
$h = 6 m$

$V = \pi \left({\left(5 m\right)}^{2} - {\left(3 m\right)}^{2}\right) \cdot 6 m$
$= 96 \pi {m}^{3} \mathmr{and} 301.5929 {m}^{3}$