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.
please show your work
The formula for the volume of a cylinder is V = πr^2h, where r is the radius (which is half the diameter) and h is the height.
Given a diameter of 16 inches, the radius is 16/2 = 8 inches.
Using π ≈ 3.14, the volume V = 3.14 * (8^2) * 7 = 3.14 * 64 * 7 = 1409.92 cubic inches.
Rounded to the nearest hundredth, the volume of the cylinder is 1409.92 cubic inches.
wrong
Apologies for the mistake. Let's correct it.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius (which is half the diameter) and h is the height.
Given a diameter of 16 inches, the radius is 16/2 = 8 inches.
Using π ≈ 3.14, the volume V = 3.14 * (8^2) * 7 = 3.14 * 64 * 7 = 1408.64 cubic inches.
Rounded to the nearest hundredth, the volume of the cylinder is 1408.64 cubic inches.
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.
First, let's find the radius of the cylinder. Since the diameter is given as 16 inches, we can use the formula r = d/2, where d is the diameter.
r = 16/2 = 8 inches
Next, we can substitute the values we found into the volume formula:
V = πr^2h
≈ 3.14 × 8^2 × 7
≈ 3.14 × 64 × 7
≈ 1409.92 cubic inches
Thus, the volume of the cylinder is approximately 1409.92 cubic inches. Rounded to the nearest hundredth, it would be 1409.92.