Question

the volume of this cone is 235.5 cubic feet. what is the height of this cone? round your answer to the nearest hundredth. 5 ft h ≈ feet submit

Explanation:

Step1: Recall cone volume formula

The volume \( V \) of a cone is \( V = \frac{1}{3}\pi r^2 h \), where \( r = 5 \) ft and \( V = 235.5 \) cubic feet.

Step2: Rearrange for height \( h \)

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

Step3: Substitute values

\( h = \frac{3 \times 235.5}{\pi \times 5^2} = \frac{706.5}{25\pi} \)

Step4: Calculate the value

Using \( \pi \approx 3.14 \), \( 25\pi = 78.5 \), so \( h \approx \frac{706.5}{78.5} = 9.00 \)

Answer:

9.00