Calculate volume in terms of Ο for cylinders, cones, spheres, and hollow cylinders from radius, height, and selected units with cubic-unit results.
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Volume in Terms of Ο Formula
The following formula is used to calculate the volume of a cylinder in terms of Ο.
- Where V is the volume (expressed in terms of Ο)
- r is the radius of the cylinder
- h is the height of the cylinder
To calculate the volume in terms of Ο, multiply the radius squared by the height, then multiply by Ο.
Volume in Terms of Ο Definition
What is volume in terms of Ο?
Volume in terms of Ο is a way of expressing a volume as a multiple of Ο, in cubic units.
For example, in the formula above, instead of using Ο β 3.14159, Ο is left as the symbol Ο and the volume is written as a coefficient times Ο (in cubic units).
How to calculate volume in terms of Ο?
The following example outlines the steps required to calculate the volume of a cylinder in terms of Ο.
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 Ο using the formula above:
V = Ο Γ r^2 Γ h
V = Ο Γ 25 Γ 10
V = 250Ο cubic inches (inΒ³)
If you wanted to calculate the actual volume, simply substitute the value of Ο into the equation to get the result. This would equal approximately 785.40 cubic inches (inΒ³) in this example.
