Answer:
r = 13 / sqrt(pi)
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)