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.

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).

Radius r

Minimum height h1

Maximum height h2

Volume

863.93798

Radius

Minimum height

Maximum height

Mean height

Base area

78.539816

Lengths use the same unit as the input, area is squared, and volume is cubed.

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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