Question

A cylinder has a volume of 200 cubic centimeters. If the height of the cylinder is 10 centimeters, what is the radius of the cylinder?​

Answer 1

radius = 2.52 cm

Explanation:

`Volume = \pi r^2 h\\\\200 = \pi r^2 * 10\\\\(200)/(10 * \pi) = r^2 \\\\6.332 = r^2 \\\\√(6.332) = r \\\\r = 2.52 \ cm`

Answer 2

The radius of the cylinder is 2.52 cm.

Explanation:

The formula for the volume of a cylinder of radius r and height h is

V = πr²h. We can solve this for r² by dividing both sides of the equation by πh:

r² = V / (πh)

Then the desired radius is found by taking the square root of this.

r = √{V / [πh]}

200 cm^2

Here, r² = ------------------- = 6.37 cm^2

3.14(10 cm)

and so r = √6.37 cm^2 = 2.52 cm

The radius of the cylinder is 2.52 cm.