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

Answer:

The radius of the cylinder is 2.52 cm.

Step-by-step 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.

Answer 2

Answer:

radius = 2.52 cm

Step-by-step explanation:

$Volume = \pi r^2 h\\\\200 = \pi r^2 \times 10\\\\\frac{200}{10 \times \pi} = r^2 \\\\6.332 = r^2 \\\\\sqrt{6.332} = r \\\\r = 2.52 \ cm$