Find the volume of a cylinder with a height of 12 inches and a diameter of 8 inches. ?
The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius of the base and h is the height.
Given that the diameter is 8 inches, the radius of the base is half of the diameter, which is 8/2 = 4 inches.
Plugging in the values into the formula, the volume of the cylinder V = π * (4 inches)^2 * 12 inches = π * 16 inches^2 * 12 inches = 192π cubic inches.
Therefore, the volume of the cylinder is 192π cubic inches.
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Apologies for the incorrect response. Let's calculate the volume correctly:
The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius of the base and h is the height.
Given that the diameter is 8 inches, the radius of the base is half of the diameter, which is 8/2 = 4 inches.
Plugging in the values into the formula, the volume of the cylinder V = π * (4 inches)^2 * 12 inches = π * 16 square inches * 12 inches = 192π cubic inches.
Therefore, the volume of the cylinder is 192π cubic inches.
To find the volume of a cylinder, you can use the formula:
V = π * r^2 * h
where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.
First, let's find the radius of the cylinder using the diameter, which is given as 8 inches. The radius is half the diameter, so the radius (r) is 8 inches divided by 2, which is equal to 4 inches.
Next, substitute the values into the formula:
V = 3.14159 * 4^2 * 12
Now, square the radius, which gives:
V = 3.14159 * 16 * 12
Multiply 16 by 12:
V = 3.14159 * 192
Finally, multiply 3.14159 by 192:
V ≈ 602.8796 cubic inches
Therefore, the volume of the cylinder is approximately 602.8796 cubic inches.