Question

the volume of this cone is 9,495.36 cubic inches. what is the height of this cone? round your answer to the nearest hundredth. cone image with radius 18 in h ≈ \boxed{} inches

Explanation:

Step1: Identify cone volume formula

Volume $V = \frac{1}{3}\pi r^2 h$

Step2: Get radius from diagram

Radius $r = 18$ inches

Step3: Rearrange formula for h

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

Step4: Substitute values

$h = \frac{3 \times 9495.36}{\pi \times 18^2} = \frac{28486.08}{324\pi} \approx \frac{28486.08}{1017.88}$

Step5: Calculate h

$h \approx 28.00$

Answer:

28.00