Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.
1. 602.88 cubic inches
2. 1,808.64 cubic inches
3. 2,411.52 cubic inches
4. 150.72 cubic inches
The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius of the cylinder and h is the height.
In this case, the diameter is given as 8 inches, so the radius can be calculated by dividing the diameter by 2.
Radius = 8 inches / 2 = 4 inches
Now, substituting the values into the formula:
V = π(4 inches)^2(12 inches)
Calculating this:
V ≈ 3.14 * 16 square inches * 12 inches
V ≈ 601.44 cubic inches
Therefore, the closest option is 1. 602.88 cubic inches.