Question

1. a cylinder has a radius of 2.5 meters.

its volume is $37.5\pi$ cubic meters.
what is the height of the cylinder?
$v = 37.5\pi$ cu. m

Explanation:

Step1: Recall cylinder volume formula

$V = \pi r^2 h$

Step2: Substitute known values

$37.5\pi = \pi (2.5)^2 h$

Step3: Simplify and solve for $h$

First, cancel $\pi$ from both sides:
$37.5 = (2.5)^2 h$
Calculate $(2.5)^2$:
$2.5^2 = 6.25$
Then solve for $h$:
$h = \frac{37.5}{6.25}$

Step4: Compute the final value

$h = 6$

Answer:

6 meters