2. The volume of a cylinder is 5,070 cubic

centimeters. The height of the cylinder is

30 centimeters. Find the radius.

What is the radius

r = 13 / sqrt (pi)

Step-by-step explanation:

Volume of a cylinder is the same as the volume of a prism, because a cylinder is basically a circular prism.

Area of the base times height.

Area of the base, which is a circle, is pi*r^2.

So all together this makes pi * r^2 * h = V And we know the volume and height, so let's fill those in.

pi * r^2 * 30 = 5070 So now we just use algebra to solve for r

pi * r^2 * 30 = 5070

pi * r^2 = 5070/30

pi * r^2 = 169

r^2 = 169/pi

sqrt (r^2) = sqrt (169/pi)

r = 13 / sqrt (pi)