Question

the volume of this cone is 15,197.6 cubic feet. what is the radius of this cone?
round your answer to the nearest hundredth.
30 ft
r ≈ feet

Explanation:

Step1: Recall cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$, where $V=15197.6$, $h=30$ ft.

Step2: Rearrange for $r^2$

$r^2 = \frac{3V}{\pi h} = \frac{3×15197.6}{\pi×30}$

Step3: Calculate $r^2$

$\frac{45592.8}{94.2477796} ≈ 483.75$

Step4: Find $r$

$r = \sqrt{483.75} ≈ 21.99$

Answer:

21.99