Question

the volume of this cylinder is 4,923.52 cubic yards. what is the radius? round your answer to the nearest hundredth.
8 yd
r ≈ yards
submit

Explanation:

Step1: Recall cylinder volume formula

The volume of a cylinder is $V = \pi r^2 h$, where $V=4923.52$, $h=8$, $\pi\approx3.14$.

Step2: Isolate $r^2$ term

Rearrange formula: $r^2 = \frac{V}{\pi h}$
Substitute values: $r^2 = \frac{4923.52}{3.14 \times 8}$
Calculate denominator: $3.14 \times 8 = 25.12$
Calculate $r^2$: $r^2 = \frac{4923.52}{25.12} = 196$

Step3: Solve for radius $r$

Take square root: $r = \sqrt{196} = 14.00$

Answer:

$r \approx 14.00$ yards