Find volume of cylinder with a diameter of 12 inches and a height of 13 inches. (round to hundredth and include units) show work

First, we need to find the radius of the cylinder by dividing the diameter by 2.

Radius = Diameter / 2 = 12 / 2 = 6 inches

Next, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Volume = 3.14 * 6^2 * 13

Volume = 3.14 * 36 * 13

Volume = 1,482.24 cubic inches

Rounded to hundredth, the volume of the cylinder is approximately 1,482.24 cubic inches.