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, we use the formula V = πr^2h.
Given that the diameter is 16 inches, the radius is half of that, which is 8 inches. And the height is 7 inches.
Plugging in these values, we get V = π(8^2)(7).
Calculating, we have V = π(64)(7) = 1408π cubic inches.
Since we are asked to round to the nearest hundredth, we can approximate π to 3.14.
Therefore, the volume of the cylinder is approximately 1408 * 3.14 = 4423.52 cubic inches, rounded to the nearest hundredth.
Hence, the volume of the cylinder is about 4423.52 cubic inches.
To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
where π (pi) is approximately 3.14159, 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, we can find the radius by dividing the diameter by 2:
r = d/2 = 16/2 = 8 inches.
Now we can substitute the values into the volume formula:
Volume = π * (8)^2 * 7
= 3.14159 * 64 * 7
= 1433.3 cubic inches (rounded to the nearest hundredth).
Therefore, the volume of the cylinder is approximately 1433.3 cubic inches.
The radius of the cylinder is half of the diameter, so the radius is 16/2 = <<16/2=8>>8 inches.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, π is a mathematical constant (approximately 3.14), r is the radius, and h is the height.
Plugging in the given values, we get V = 3.14(8^2)(7).
Simplifying, we get V = 3.14(64)(7) = 1408.32 cubic inches.
Therefore, the volume of the cylinder is approximately 1408.32 cubic inches.