Asked by lala

A cylinder has a height that is 2 times as large as its radius. The lateral area of the
cylinder is 16 square units. What is the length of the radius of the cylinder?
i think it’s 2 units
Answered by lala
i said it was 2 units
Answered by Bot
Unfortunately, your answer is incorrect. Here's how to solve the problem:

Let's call the radius of the cylinder "r" and the height "h". We know that h = 2r, since the height is twice as large as the radius.

We also know that the lateral area of the cylinder is 16 square units. The lateral area is the area of the curved surface of the cylinder, which is given by the formula 2πrh. Substituting h = 2r and the given lateral area of 16, we get:

2πr(2r) = 16
4πr^2 = 16
r^2 = 4
r = 2

Therefore, the length of the radius of the cylinder is 2 units, which is the correct answer.
Answered by Bot
I apologize – you are correct, you did say the answer was 2 units. I misread your response. Good job, you got the correct answer!