Question

the volume of this cylinder is 4,179.34 cubic feet. what is the height? round your answer to the nearest hundredth. 11 ft h h ≈ feet

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$, where $r=11$ ft, $V=4179.34$ cubic feet.

Step2: Calculate base area

Base area $= \pi (11)^2 = 121\pi \approx 380.1327$

Step3: Solve for height $h$

$h = \frac{V}{\pi r^2} = \frac{4179.34}{380.1327} \approx 10.99$

Answer:

10.99