Enter the outer disc radius, the inner disc radius, and the thickness into the Disc Volume Calculator (select units as needed). The calculator will evaluate and display the Disc Volume.
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Disc Volume Formula
The following formula is used to calculate the Disc Volume.
V_{disc}=\pi\left(R_o^2-R_i^2\right)t- Where Vdisc is the Disc Volume (in^3)
- Ro is the outer disc radius (in)
- Ri is the inner disc radius (in)
- t is the thickness (in)
To calculate a disc volume (a disc with a center hole), square the outer radius and the inner radius, subtract the inner radius squared from the outer radius squared, then multiply the result by π and by the thickness.
How to Calculate Disc Volume?
The following example problems outline how to calculate Disc Volume.
Example Problem #1
- First, determine the outer disc radius (in).
- The outer disc radius (in) is given as 30.
- Next, determine the inner disc radius (in).
- The inner disc radius (in) is given as 20.
- Next, determine the thickness (in).
- The thickness (in) is found to be: 5.
- Finally, calculate the Disc Volume using the formula above:
Vdisc = π*(Ro^2 – Ri^2)*t
Inserting the values from above yields:
Vdisc = π*(30^2 – 20^2)*5 = 7853.98 (in^3)
Example Problem #2
The variables needed for this problem are provided below:
outer disc radius (in) = 50
inner disc radius (in) = 20
thickness (in) = 10
This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer.
Vdisc = π*(Ro^2 – Ri^2)*t = (in^3)
