Calculate the volume of a solid disc or ring washer from diameter, thickness, and inner diameter, in cubic units, liters, or gallons.
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Disc Volume Formula
The disc volume calculator uses the cylinder volume formula for a solid disc and a hollow cylinder formula for a ring or washer. Thickness is treated as the height of the disc.
Solid disc
- V = disc volume
- pi = 3.14159265…
- D = disc diameter
- T = disc thickness
Ring or washer
- V = ring volume
- pi = 3.14159265…
- OD = outer diameter
- ID = inner diameter, or hole diameter
- T = ring thickness
For a solid disc, the calculator halves the diameter to get the radius, squares the radius, multiplies by pi, then multiplies by thickness. For a ring or washer, it finds the area of the outer circle, subtracts the area of the inner hole, then multiplies the remaining area by thickness. If your input units are mixed, the dimensions are converted before the volume is calculated.
Disc Volume Unit Conversions
Use these common volume conversions when checking or comparing results.
| Volume unit | Equivalent |
|---|---|
| 1 cubic centimeter (cm³) | 1 milliliter (mL) |
| 1 liter (L) | 1,000 cm³ |
| 1 cubic inch (in³) | 16.387064 cm³ |
| 1 cubic foot (ft³) | 1,728 in³ |
| 1 US gallon | 231 in³, or about 3.78541 L |
Example Disc Volume Calculations
Example 1: Solid disc
You have a solid disc with a diameter of 4 in and a thickness of 0.5 in.
The disc volume is about 6.2832 in³.
Example 2: Ring or washer
You have a washer with an outer diameter of 6 cm, an inner diameter of 2 cm, and a thickness of 1 cm.
The washer volume is about 25.1327 cm³.
Disc Volume Calculator FAQ
Is disc volume the same as cylinder volume?
Yes. A solid disc is a short cylinder. The diameter gives the circular face size, and the thickness is the cylinder height. The volume is the circular area multiplied by thickness.
How do you calculate the volume of a disc with a hole?
Use the ring or washer formula. Calculate the volume of the full outer disc, calculate the volume of the inner hole, then subtract the hole volume from the outer volume. This is the same as using pi*((OD/2)^2 – (ID/2)^2)*T.
Can the diameter and thickness use different units?
Yes. The calculator converts each length input to a common unit before calculating volume. For hand calculations, convert all dimensions to the same length unit first. If diameter is in inches and thickness is in inches, the result is cubic inches. If diameter is in centimeters and thickness is in centimeters, the result is cubic centimeters.
