Question

the volume of this cone is 65.94 cubic feet. what is the height of this cone? round your answer to the nearest hundredth. 3 ft ( h=square ) feet

Explanation:

Step1: Recall cone volume formula

The volume \( V \) of a cone is \( V = \frac{1}{3}\pi r^2 h \), where \( r = 3 \) ft and \( V = 65.94 \) cubic feet.

Step2: Rearrange for height \( h \)

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

Step3: Substitute values

\( h = \frac{3 \times 65.94}{\pi \times 3^2} = \frac{197.82}{9\pi} \approx \frac{197.82}{28.26} \approx 7.00 \)

Answer:

7.00 feet