Asked by ur mama
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
_ Cubic inches
Answers
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.