Question

the volume of this cylinder is 54,158.72 cubic feet. what is the radius? round your answer to the nearest hundredth. image of a cylinder with height 22 ft and radius r r ≈ \boxed{} feet

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$, where $V=54158.72$, $h=22$, $\pi\approx3.14$.

Step2: Rearrange for $r^2$

$r^2 = \frac{V}{\pi h} = \frac{54158.72}{3.14 \times 22}$

Step3: Calculate denominator

$3.14 \times 22 = 69.08$

Step4: Compute $r^2$

$r^2 = \frac{54158.72}{69.08} = 784$

Step5: Find $r$

$r = \sqrt{784} = 28$

Answer:

28.00