Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Round your answer to the nearest hundredth.(1 point)
The radius of the cylinder is half of its diameter, so the radius is 16/2 = <<16/2=8>>8 inches. The formula for the volume of a cylinder is V = πr^2h. Plugging in the values, the volume is V = π(8^2)(7) = π(64)(7) = 448π cubic inches.
Since we want to round our answer to the nearest hundredth, we need to find the approximate value of π. π is approximately 3.14.
448π ≈ 448(3.14) ≈ 1409.92 cubic inches.
Therefore, the volume of the cylinder is approximately 1409.92 cubic inches. Answer: \boxed{1409.92}.