Question

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A cylinder has a height that is 2 times as large as its radius. The lateral area of the cylinder is 16π
square units. What is the length of the radius of the cylinder?

(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the radius of the cylinder be r units.

Given that the height is 2 times the radius, the height = 2r units.

The lateral area of a cylinder is given by the formula: Lateral area = 2πrh, where r is the radius and h is the height.

Given lateral area = 16π, we have:
16π = 2π(r)(2r)
16π = 4πr^2
4 = r^2
r = √4
r = 2 units

Therefore, the length of the radius of the cylinder is 2 units.