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.
_ Cubic inches
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To find the volume of a cylinder, we can use the formula:
Volume =π r^2 h
First, we need to determine the radius of the cylinder. The radius is half the diameter, so we divide the diameter (16 inches) by 2:
Radius = 16 inches / 2 = 8 inches
Next, we substitute the values into the volume formula:
Volume = π (8 inches)^2 * 7 inches
Simplifying:
Volume = π * 64 square inches * 7 inches
Now, we can calculate the volume:
Volume = 3.14 * 64 square inches * 7 inches
Volume ≈ 14096.64 cubic inches
Rounded to the nearest hundredth, the volume of the cylinder is approximately 14096.64 cubic inches.
The formula to find the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
First, let's find the radius of the cylinder. The diameter is given as 16 inches, so the radius is half of that, which is 8 inches.
Next, plug the values into the formula:
V = π(8^2)(7)
V = π(64)(7)
V ≈ 1408π
Now we can round the answer to the nearest hundredth. Using the approximation π ≈ 3.14:
V ≈ 1408(3.14)
V ≈ 4423.52
Therefore, the volume of the cylinder is approximately 4423.52 cubic inches.
Apologies for the mistake. Let's recalculate the volume correctly.
The formula to find the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
First, let's find the radius of the cylinder. The diameter is given as 16 inches, so the radius is half of that, which is 8 inches.
Next, plug the values into the formula:
V = π(8^2)(7)
V = π(64)(7)
V = 3.14(64)(7)
V = 3.14(448)
V = 1408.32
Therefore, the volume of the cylinder is approximately 1408.32 cubic inches.
Apologies for the mistake. Let's recalculate the volume correctly.
The formula to find the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
First, let's find the radius of the cylinder. The diameter is given as 16 inches, so the radius is half of that, which is 8 inches.
Next, plug the values into the formula:
V = π(8^2)(7)
V = π(64)(7)
V = 3.14(64)(7)
V = 1409.92
Therefore, the volume of the cylinder is approximately 1409.92 cubic inches.