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.
To find the volume of a cylinder, you can use the formula: V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r represents the radius of the cylinder, and h represents the height of the cylinder.
Given that the diameter of the cylinder is 16 inches, we can determine the radius by dividing the diameter by 2: r = 16 / 2 = 8 inches.
Now, we can substitute the values of the radius and height into the formula to find the volume: V = 3.14 * 8^2 * 7.
Calculating this equation, we get:
V = 3.14 * 64 * 7
V ≈ 1409.92 cubic inches.
Therefore, the volume of the cylinder, rounded to the nearest hundredth, is approximately 1409.92 cubic inches.