A square with an area of 64 in2 is rotated to form a cylinder. What is the radius of the cylinder?

The area of the square is calculated through the equation,

Area = e²

where e is the measure of sides.

From the given,

64 = e²

e = sqrt 64 = 8 inches

The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.

radius = 8 inches / 2 = 4 inches

Thus, the radius of the cylinder is equal to 4 inches.