Round your answer to the nearest hundredth. Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the cylinder is 16 inches, we can find the radius by dividing the diameter by 2: r = 16 / 2 = 8 inches.
Plugging in the values for r = 8 inches and h = 7 inches into the formula, we get V = π(8^2)(7) = π(64)(7) ≈ 1408.14 cubic inches.
Rounding to the nearest hundredth, the volume of the cylinder is approximately 1408.14 cubic inches.