Volume of Revolution (Disk Method)

cm
cm
Set to 0 for solid disk
cm
Math Updated 16 Jun 2026

Volume of Revolution (Disk Method) is a mathematics calculator that helps you calculate the volume of a three-dimensional shape or container. The formula used is: Disk: V = πR²h; Washer: V = π(R²−r²)h. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.

Formula

Disk: V = πR²h; Washer: V = π(R²−r²)h

Example Calculation

Inputs
  • Outer Radius: 5 cm
  • Inner Radius (washer): 2 cm
  • Height / Thickness: 8 cm

Suppose you enter: Outer Radius = 5, Inner Radius (washer) = 2, Height / Thickness = 8. The calculator applies the formula (Disk: V = πR²h; Washer: V = π(R²−r²)h) and shows all output values below. Change any input field to immediately see how the result changes.

Frequently asked questions

What is the Volume of Revolution (Disk Method)?
The Volume of Revolution (Disk Method) is a mathematics calculator that helps you calculate the volume of a three-dimensional shape or container. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.
When should I use this calculator?
Use this calculator whenever you need a quick, accurate result for the volume of a three-dimensional shape or container without working through the arithmetic manually.
What units should I enter?
Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.
How accurate are the results?
Results are mathematically exact given the formula and your inputs. Rounding to decimal places may introduce small display differences.
How do I interpret the result?
Check that all inputs are in the valid range for the formula. Some operations (e.g. square root, division) require non-negative or non-zero values.
How can I verify the calculation manually?
Use the displayed formula and work through the numbers step by step. If your manual result differs slightly, check rounding and unit conversions first.
Can I use this for planning and budgeting?
Yes. Run best-case, expected, and worst-case inputs to compare outcomes and make safer planning decisions.

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