Question

the volume of this cone is 3,532.5 cubic feet. what is the radius of this cone? round your answer to the nearest hundredth. 15 ft r ≈ \boxed{} feet submit

Explanation:

Step1: Recall cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$; $V=3532.5$, $h=15$ ft

Step2: Rearrange for $r^2$

$r^2 = \frac{3V}{\pi h} = \frac{3×3532.5}{\pi×15}$

Step3: Calculate $r^2$

$\frac{10597.5}{47.1239} ≈ 224.89$

Step4: Find $r$

$r = \sqrt{224.89} ≈ 14.996 ≈ 15.00$

Answer:

15.00