Question

the volume of this cylinder is 33,233.76 cubic meters. what is the height? round your answer to the nearest hundredth. 21 m h ≈ meters

Explanation:

Step1: Recall cylinder 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. We know $V = 33233.76$ cubic - meters and $r = 21$ meters.

Step2: Rearrange formula for height

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

Step3: Substitute values

Substitute $V = 33233.76$, $r = 21$ and $\pi\approx3.14$ into the formula: $h=\frac{33233.76}{3.14\times21^{2}}$. First, calculate $21^{2}=441$, then $3.14\times441 = 1384.74$. Then $h=\frac{33233.76}{1384.74}$.

Step4: Calculate the value of height

$h=\frac{33233.76}{1384.74}=24.00$ meters.

Answer:

$24.00$