A cylinder has a height that is 2 times as large as its radius. The lateral surface area of the cylinder is 36π36π square units. What is the length of the radius of the cylinder? Please show all work in order to receive credit. You may use the button to upload a picture of your work
Let's denote the radius of the cylinder as r and the height as h.
Given that the height is 2 times as large as the radius, we have h = 2r.
The lateral surface area of a cylinder is given by the formula:
Lateral Surface Area = 2πrh
Substitute h = 2r into the formula:
36π = 2πr(2r)
36π = 4πr^2
9 = r^2
r = 3
Therefore, the radius of the cylinder is 3 units.