Question

the volume of this cone is 2,411.52 cubic inches. what is the height of this cone? round your answer to the nearest hundredth. image of a cone with radius 12 in h ≈ \boxed{} inches

Explanation:

Step1: Recall cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$, where $r=12$ in, $V=2411.52$ in³.

Step2: Rearrange for height $h$

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

Step3: Substitute values

$h = \frac{3×2411.52}{\pi×12^2} = \frac{7234.56}{144\pi} ≈ \frac{7234.56}{452.16} ≈ 16.00$

Answer:

16.00