find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. use 3.14 for pi.

a. 602.88 cubic inches
b. 1,808.64 cubic inches
c. 2,411.52 cubic inches
d. 150.72 cubic inches

To find the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius and h is the height.

Given that the diameter is 8 inches, the radius (r) is half of that, so r = 4 inches. The height (h) is 12 inches.

Plugging these values into the formula, we get:
V = π(4)^2(12)
V = π(16)(12)
V = 192π

Now, multiply by 3.14 for the value of π:
V = 192 * 3.14
V = 602.88 cubic inches

So, the volume of the cylinder is 602.88 cubic inches, which means the answer is a. 602.88 cubic inches.