Question

the volume of this cylinder is 14,736.02 cubic meters. what is the radius?
round your answer to the nearest hundredth.
13 m
$r \approx \square$ meters
save answer

Explanation:

Step1: Recall cylinder volume formula

The volume of a cylinder is $V = \pi r^2 h$, where $V=14736.02$, $h=13$.

Step2: Isolate $r^2$ term

Rearrange formula to solve for $r^2$:
$$r^2 = \frac{V}{\pi h}$$
Substitute values:
$$r^2 = \frac{14736.02}{\pi \times 13}$$
Calculate denominator: $\pi \times 13 \approx 40.8407$
$$r^2 \approx \frac{14736.02}{40.8407} \approx 360.816$$

Step3: Solve for $r$

Take square root of $r^2$:
$$r = \sqrt{360.816}$$

Answer:

$r \approx 18.99$ meters