Question

the volume of this cylinder is 104,285.68 cubic meters. what is the height? round your answer to the nearest hundredth. 38 m h h ≈ meters

Explanation:

Step1: Identify radius and volume

Radius $r = 38$ m, Volume $V = 104285.68$ m³

Step2: Volume formula for cylinder

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

Step3: Calculate base area

$\pi r^2 = 3.14 \times 38^2 = 3.14 \times 1444 = 4534.16$

Step4: Compute height

$h = \frac{104285.68}{4534.16} = 23$

Answer:

23