Question

The area of the circular base of a cylinder is 36π square units. The height of the cylinder is 2 units.

What is the lateral area of the cylinder? Express the answer in terms of π.

12π square units
24π square units
60π square units
72π square units

Answer 1

24π square units (edge)

Explanation:

Answer 2

Answer: second option.

Explanation:

The formula used for calculate the lateral area of a cylinder is this one:

`LA=2\pi rh`

Where "r" is the radius and "h" is the height

The formula for calculate the area of a circle (which is the base of a cylinder) is:

`A=\pi r^2`

Knowing the area of the base, you can solve for the radius:

`36\pi=\pi r^2\\\\r=\sqrt{(36\pi units^2)/(\pi)} \\\\r=6units`

Substitute the radius and the height into the formula
`LA=2\pi rh`:

`LA=2\pi (6units)(2units)`

`LA=24\pi\ units^2`