Question

The volume of a cylinder is 90 cm³. If the radius is 3 cm, what is the height of the cylinder? OA. 10 cm OB. 30 cm C. 15 cm D. 5 cm 3 cm​

Answer 1

3 cm

Explanation:

Volume of a cylinder

The formula of a cylinder is given by:

`\pi r^(2) h`

where r is the radius and h is the height of the cylinder.

Solution

Given information from the question:

Volume of cylinder =
`90cm^(3)`

Radius of cylinder = 3cm

We can derive an equation to find the height:

`90=\pi 3^(2) h\\9\pi h=90\\h = (90)/(9\pi ) \\h = 3.18cm`

Given the height is 3.18cm, we will choose the closest answer which is 3 cm.