Question

The volume of a cylinder is 225 cm

and its height is 9 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.
____cm

Answer 1

5/3 cm

Explanation:

We know that the volume of a cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We are given V = 225 cm^3 and h = 9 cm.

Substituting these values into the formula, we get:

225 = πr^2(9)

Dividing both sides by 9π, we get:

r^2 = 225/(9π)

Taking the square root of both sides, we get:

r = sqrt(225/(9π))

Simplifying, we get:

r = 5/3 cm

The length of the cylinder's radius is 5/3 cm.