Question

the volume of this cylinder is 6,330.24 cubic feet. what is the radius?
round your answer to the nearest hundredth.

Explanation:

Step1: Recall cylinder volume formula

$V = \pi r^2 h$
Given $V = 6330.24$, $h = 24$, $\pi \approx 3.14$

Step2: Solve for $r^2$

$r^2 = \frac{V}{\pi h} = \frac{6330.24}{3.14 \times 24}$

Step3: Calculate denominator

$3.14 \times 24 = 75.36$

Step4: Compute $r^2$

$r^2 = \frac{6330.24}{75.36} = 84$

Step5: Find $r$

$r = \sqrt{84} \approx 9.165 \approx 9.17$

Answer:

9.17