How this calculation works
Find the volume between two coaxial surfaces whose radii vary linearly.
THE FORMULA
Integrate π[(R₀+mx)²−(r₀+nx)²] over the axial intervalA worked example
Over length 2, radii 4+x and 2 give volume 128π/3.
Good to know
The outer radius must stay at least as large as the inner radius.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Find the volume between two coaxial surfaces whose radii vary linearly.
The primary result is labeled “Volume”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The outer radius must stay at least as large as the inner radius.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Over length 2, radii 4+x and 2 give volume 128π/3.
Which rule does this calculator apply?
Integrate π[(R₀+mx)²−(r₀+nx)²] over the axial interval