How do you calculate the volume of a cylinder that has a diameter of 10 inches and a height of 20 inches?

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Calculating the Volume of a Cylinder

To find the volume of a cylinder, you can use the formula:

Volume = π * r² * h

Where:

  • π (Pi) is approximately 3.14159,
  • r is the radius of the cylinder, and
  • h is the height of the cylinder.

In your case, the diameter of the cylinder is given as 10 inches. To find the radius, you divide the diameter by 2:

r = diameter / 2 = 10 inches / 2 = 5 inches

The height of the cylinder is 20 inches. Now, we can substitute the radius and the height into the volume formula:

Volume = π * (5 inches)² * (20 inches)

Calculating the radius squared:

(5 inches)² = 25 square inches

Now substituting that back into the volume formula:

Volume = π * 25 square inches * 20 inches

Next, multiply:

Volume = π * 500 cubic inches

Now, using the approximate value of π (3.14159):

Volume ≈ 3.14159 * 500 ≈ 1570.8 cubic inches

So, the volume of the cylinder is approximately 1570.8 cubic inches.

Conclusion

In summary, you can find the volume of a cylinder by using the formula that incorporates the radius and height. For a cylinder with a diameter of 10 inches and a height of 20 inches, you’ve calculated that the volume is about 1570.8 cubic inches.

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