Oblique-Cut Cylinder (Partial Cone) Volume Calculator
Find the volume of a cylinder cut by a slanted plane from its radius and minimum and maximum heights using the mean height.
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Input
Enter the radius and the heights on the lowest and highest sides to find the volume of a cylinder cut by a slanted plane (partial cone).
Result
Volume
863.93798
Radius
5
Minimum height
8
Maximum height
14
Mean height
11
Base area
78.539816
Lengths use the same unit as the input, area is squared, and volume is cubed.
How it works
- The solid has a circular base of radius r and a flat slanted top plane.
- When a slanted plane crosses a cylinder, integrating the cross sections gives the same volume as a cylinder of the mean height.
- Volume equals pi times r squared times (h1 plus h2) divided by 2.
- The mean height is (h1 plus h2) divided by 2 and the base area is pi times r squared.
- Lengths use the same unit as the input, area is squared, and volume is cubed.
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