Enter the dimensions of a cylinder (or use the other tabs for a cone, sphere, or hollow cylinder) to determine the volume in terms of π.
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Volume in Terms of π Formula
The following formula is used to calculate the volume of a cylinder in terms of π.
V=\pi r^2 h
- Where V is the volume (expressed in terms of π)
- r is the radius of the cylinder
- h is the height of the cylinder
To calculate the volume in terms of π, multiply the radius squared by the height, then multiply by π.
Volume in Terms of π Definition
What is volume in terms of π?
Volume in terms of π is a way of expressing a volume as a multiple of π, in cubic units.
For example, in the formula above, instead of using π ≈ 3.14159, π is left as the symbol π and the volume is written as a coefficient times π (in cubic units).
How to calculate volume in terms of π?
The following example outlines the steps required to calculate the volume of a cylinder in terms of π.
First, determine the radius. Measuring the radius of the cylinder for this example yields 5 inches.
Next, measure or calculate the height. Measuring the height yields 10 inches in this case.
Finally, calculate the volume in terms of π using the formula above:
V = π × r^2 × h
V = π × 25 × 10
V = 250π cubic inches (in³)
If you wanted to calculate the actual volume, simply substitute the value of π into the equation to get the result. This would equal approximately 785.40 cubic inches (in³) in this example.
