find the volume, in cubic inches, of a cyinder with a diameter of 16 inches and a height of 17 inches.

round your answer to the nearest hundred.

The formula to calculate the volume of a cylinder is V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

Since the diameter of the cylinder is given as 16 inches, we can find the radius (r) by dividing the diameter by 2:
r = 16 inches / 2 = 8 inches

Using this information, we can plug in the values into the formula and calculate the volume:
V = 3.14 * 8^2 * 17
V = 3.14 * 64 * 17
V ≈ 3439.36 cubic inches

Rounding the answer to the nearest hundred, the volume of the cylinder is approximately 3400 cubic inches.