Question

the formula for the volume of a cylinder is v = πr²h. the cylinder to the right has an exact volume of 90π cubic meters. find its height. the height of the cylinder is (simplify your answer.)

Explanation:

Step1: Identify given values

$V = 90\pi$, $r=3$

Step2: Substitute into volume formula

$V=\pi r^{2}h$ becomes $90\pi=\pi\times3^{2}\times h$

Step3: Simplify the equation

$90\pi = 9\pi h$

Step4: Solve for h

Divide both sides by $9\pi$: $h=\frac{90\pi}{9\pi}=10$

Answer:

$10$ m