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
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. The diameter of the cylinder is given as 16 inches, so the radius is half of the diameter, which is 16/2 = 8 inches.
Plugging in the values, we get V = π(8^2)(7) = π(64)(7) ≈ 1,587.33 cubic inches.
Rounding to the nearest hundredth, the volume is approximately 1,587.33 cubic inches.
Incorrect
To find the volume of a cylinder, you need to use the formula:
V = π * r^2 * h,
where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder's base, and h is the height of the cylinder.
First, we need to find the radius of the cylinder's base. The diameter is given as 16 inches, and the radius is half the diameter. So, the radius, r, is 16 / 2 = 8 inches.
Next, we can substitute the values into the formula to calculate the volume:
V = π * (8^2) * 7.
Simplifying the equation further:
V = 3.14 * 64 * 7.
V = 1409.92 cubic inches.
Rounding this answer to the nearest hundredth, we get:
Volume ≈ 1409.92 cubic inches.
Apologies for the mistake.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. The diameter of the cylinder is given as 16 inches, so the radius is half of the diameter, which is 16/2 = 8 inches.
Plugging in the values, we get V = π(8^2)(7) = π(64)(7) = π(448) ≈ 1408.4 cubic inches.
Rounding to the nearest hundredth, the volume is approximately 1408.4 cubic inches.