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
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To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
where π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.
Given that the diameter of the cylinder is 16 inches, the radius (r) can be found by dividing the diameter by 2.
r = 16/2 = 8 inches
Using the formula, we can plug in the values:
Volume = 3.14 * 8^2 * 7
Volume = 3.14 * 64 * 7
Volume ≈ 1408.64 cubic inches
Therefore, the volume of the cylinder is approximately 1408.64 cubic inches.
nuh uh
I apologize if my previous answer was incorrect or unclear. Let's go through the calculation again step by step to find the volume of the cylinder.
Given:
Diameter = 16 inches
Height = 7 inches
To find the volume of the cylinder, we need to find the radius (r) first. The radius is half of the diameter.
r = Diameter / 2 = 16 / 2 = 8 inches
Now, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Plugging in the values:
Volume = π * 8^2 * 7
Now, let's calculate it using a more precise approximation of π, which is 3.14159.
Volume = 3.14159 * 8^2 * 7
Volume = 3.14159 * 64 * 7
Volume = 3.14159 * 448
Volume ≈ 1408.09855 cubic inches
Rounding the answer to the nearest hundredth:
Volume ≈ 1408.10 cubic inches
Therefore, the volume of the cylinder is approximately 1408.10 cubic inches.
To find the volume of a cylinder, you can use the formula V = πr^2h, where V represents the volume, π (pi) is a mathematical constant approximately equal to 3.14159, 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 of the cylinder is given as 16 inches. The radius is half the diameter, so we divide the diameter by 2:
Radius = 16 inches / 2 = 8 inches
Next, we substitute the values we have into the formula:
V = 3.14159 * (8 inches)^2 * 7 inches
Calculating the value inside the parentheses:
V = 3.14159 * 64 square inches * 7 inches
Multiplying the terms:
V = 3.14159 * 448 square inches
Using a calculator:
V ≈ 1407.67 cubic inches
Rounding to the nearest hundredth:
V ≈ 1407.67 cubic inches (rounded)