How this calculation works
Use the disk method to rotate a quadratic strip about the x-axis.
THE FORMULA
V=πa²L⁵/5 for y=ax² on [0,L]A worked example
Rotating the strip under x² through x=2 gives volume 32π/5.
Good to know
The disk radius is the absolute value of the function.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Use the disk method to rotate a quadratic strip about the x-axis.
The primary result is labeled “Volume”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The disk radius is the absolute value of the function.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Rotating the strip under x² through x=2 gives volume 32π/5.
Which rule does this calculator apply?
V=πa²L⁵/5 for y=ax² on [0,L]