Answer:
3 cm
Step-by-step explanation:
The formula of a cylinder is given by:
[tex]\pi r^{2} h[/tex]
where r is the radius and h is the height of the cylinder.
Given information from the question:
Volume of cylinder = [tex]90cm^{3}[/tex]
Radius of cylinder = 3cm
We can derive an equation to find the height:
[tex]90=\pi 3^{2} h\\9\pi h=90\\h = \frac{90}{9\pi } \\h = 3.18cm[/tex]
Given the height is 3.18cm, we will choose the closest answer which is 3 cm.