Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches.
a. 150.72 cubic inches
b. 2,411.52 cubic inches
c. 602.88 cubic inches
d. 1,808.64 cubic inches
To find the volume of a cylinder, you can use the formula V = πr^2h where V is the volume, π is a mathematical constant (approximately 3.14159), r is the radius, and h is the height.
First, we need to find the radius of the cylinder. The diameter is given as 8 inches, so the radius is half of that, which is 8 / 2 = 4 inches.
Now we can substitute the values into the formula:
V = π(4^2)(12)
V = π(16)(12)
V = 192π
To get a numerical approximation for the volume, we can use an approximation for π, such as 3.14159.
V ≈ 192(3.14159)
V ≈ 602.88
The volume of the cylinder is approximately 602.88 cubic inches.
Therefore, the correct answer is c. 602.88 cubic inches.