Question

the volume of this cone is 115,395 cubic yards. what is the height of this cone? round your answer to the nearest hundredth. 35 yd h ≈ yards submit

Explanation:

Step1: Recall cone volume formula

Volume \( V = \frac{1}{3}\pi r^2 h \), so \( h = \frac{3V}{\pi r^2} \)

Step2: Identify given values

\( V = 115395 \), \( r = 35 \)

Step3: Calculate denominator

\( \pi r^2 = \pi \times 35^2 = 1225\pi \approx 3848.45 \)

Step4: Compute height

\( h = \frac{3 \times 115395}{3848.45} = \frac{346185}{3848.45} \approx 89.95 \)

Answer:

89.95