Question

a cylinder has a radius of 20 feet. its volume is 22,608 cubic feet. what is the height of the cylinder?
round your answer to the nearest hundredth.
h ≈ \boxed{} feet

Explanation:

Step1: Recall cylinder volume formula

$V = \pi r^2 h$

Step2: Rearrange for height $h$

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

Step3: Substitute given values

$h = \frac{22608}{\pi (20)^2} = \frac{22608}{400\pi}$

Step4: Calculate and round to hundredth

$h \approx \frac{22608}{1256.637} \approx 18.00$

Answer:

$h \approx 18.00$ feet