Question

the volume of this cylinder is 6,378.125 cubic centimeters. what is the height? round your answer to the nearest hundredth. 12.5 cm h h ≈ □ centimeters submit

Explanation:

Step1: Recall cylinder volume formula

The volume of a cylinder is $V = \pi r^2 h$, where $V$ is volume, $r$ is radius, $h$ is height.

Step2: Rearrange formula for height

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

Step3: Substitute given values

$V=6378.125$, $r=12.5$. Calculate denominator first: $\pi (12.5)^2 = \pi \times 156.25 \approx 490.873852$

Step4: Compute height

$h = \frac{6378.125}{490.873852} \approx 12.99$

Answer:

12.99 centimeters