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?

Solution:

Given, a cylinder has a height that is 2 times as large as its radius.

The lateral area of the cylinder is 16π square units.

We have to find the length of the radius of the cylinder.

Lateral surface area of the cylinder = 2πrh

Where, r is the radius

h is the height

According to the question,

h = 2r

So, lateral area = 2πr(2r)

= 4πr²

Now, 16π = 4πr²

r² = 16π/4π

r² = 4

Taking square root,

r = 2 units

Therefore, the required radius is 2 units.

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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?

Summary:

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