Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.
a 1,808.64 cubic inches
b 602.88 cubic inches
c 2,411.52 cubic inches
d 150.72 cubic inches
The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius of the base and h is the height.
Since the diameter is given as 8 inches, the radius would be half of that, which is 4 inches.
So the volume would be V = π * (4 inches)^2 * 12 inches.
Calculating this:
V = 3.14 * (16 square inches) * 12 inches
V = 3.14 * 192 square inches
V ≈ 602.88 cubic inches
Therefore, the volume of the cylinder is approximately 602.88 cubic inches.
The correct answer is b) 602.88 cubic inches.