Question

find the radius of a right cylinder with a volume of 660 cubic feet and a height of 4 feet. round your answer to the nearest hundredth. the radius is about feet.

Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula of a right - cylinder is $V=\pi r^{2}h$, where $V$ is the volume, $r$ is the radius and $h$ is the height.
We are given that $V = 660$ cubic feet and $h=4$ feet. Substitute these values into the formula: $660=\pi r^{2}\times4$.

Step2: Solve for $r^{2}$

First, divide both sides of the equation $660 = 4\pi r^{2}$ by $4\pi$.
$r^{2}=\frac{660}{4\pi}=\frac{660}{4\times3.14}=\frac{660}{12.56}\approx52.55$.

Step3: Solve for $r$

Take the square - root of both sides: $r=\sqrt{r^{2}}=\sqrt{52.55}\approx7.25$.

Answer:

$7.25$