Question

the volume of this cylinder is 310.86 cubic feet. what is the height? round your answer to the nearest hundredth. 3 ft h h ≈ feet

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$, where $V$ is volume, $r$ is radius and $h$ is height.

Step2: Identify given values

We know $V = 310.86$ cubic - feet and $r = 3$ feet.

Step3: Rearrange formula for height

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

Step4: Substitute values

$h=\frac{310.86}{\pi\times3^{2}}=\frac{310.86}{9\pi}$.

Step5: Calculate value

$h=\frac{310.86}{9\times3.14}=\frac{310.86}{28.26}=11.00$ feet.

Answer:

$11.00$