Find the volume, in cubic inches, of a cylinder with a diameter of 16 inches and a height of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundreth.
The radius of the cylinder is 16 / 2 = <<16/2=8>>8 inches.
The volume of the cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Substituting the known values, we get V = 3.14 × 8^2 × 7 = 3.14 × 64 × 7 = 1408.96 cubic inches.
Rounding to the nearest hundredth, the volume is 1408.96 ≈ <<1408.96=1408.96>>1408.96 cubic inches. Answer: \boxed{1408.96}.