1 Answer

Moises · Answer 1 · 2020-12-01T22:11:10+0000

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
$LA=2\pi rh$ :

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

$LA=24\pi\ units^2$

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