# If the volume of a cylinder is 384∏ and the height is 6, what is the length of the radius?

## My teacher requires work if it is not too much trouble please SHOW WORK!!!! thank you for helping.

Apr 27, 2018

$r a \mathrm{di} u s = r = 8$ units

#### Explanation:

We know that,

Volume of Cylinder is

$\textcolor{red}{V = \pi {r}^{2} h} ,$

where, color(blue)(h=height and r=radius of Cylinder

Given that, $V = 384 \pi$ cubic units

$\implies \pi {r}^{2} h = 384 \pi , \mathmr{and} h = 6$

$\implies \pi {r}^{2} \left(6\right) = 384 \pi$

$\implies {r}^{2} = \frac{384 \pi}{6 \pi}$

$\implies {r}^{2} = 64 = {\left(8\right)}^{2}$

$\implies r = 8$

Hence, $r a \mathrm{di} u s = r = 8$ units

Apr 27, 2018

$\textcolor{b l u e}{8}$

#### Explanation:

The volume of a cylinder is given by:

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

Where $h$ is the height and $r$ is the radius.

We know the volume is $384 \pi$

$\pi {r}^{2} \left(6\right) = 384 \pi$

Dividing by $6 \pi$:

${r}^{2} = 64$

$r = \sqrt{64} = 8$