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What is the lateral area of the cylinder?

What is the lateral area of the cylinder?-example-1
User Heero
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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

User Moises
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