Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.
a.2,411.52 cubic inches
b.602.88 cubic inches
c.150.72 cubic inches
d.1,808.64 cubic inches
The volume of a cylinder can be found using the formula V = πr^2h, where r is the radius of the cylinder and h is the height.
Given that the diameter of the cylinder is 8 inches, the radius would be half of that, which is 4 inches.
Substituting the values into the formula, we have:
V = π * (4 inches)^2 * 12 inches
V = 16π * 12 inches
V = 192π cubic inches
To find the approximate value of the volume, we can use the approximation π ≈ 3.14:
V ≈ 192 * 3.14 cubic inches
V ≈ 602.88 cubic inches
Therefore, the volume of the cylinder is approximately 602.88 cubic inches, which corresponds to option b.