Oblique Cut Cylinder Volume

Find the volume and lateral area of a cylinder with a slanted top from its radius and minimum and maximum heights.

Input

Enter the radius and the minimum and maximum heights to find the volume of a cylinder with a slanted top.

Radius r

Minimum height h1

Maximum height h2

Volume

197.920337

Mean height

Lateral area

131.946891

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

An oblique cut cylinder has a horizontal base and a top cut at a slant. Its volume equals that of a right cylinder with the mean height.
Volume V equals pi times the radius squared times the mean of the minimum and maximum heights.
The mean height is the minimum height plus the maximum height divided by two.
The lateral area is 2 times pi times the radius times the mean height.
Lengths use the same unit as the input, areas are squared and the volume is cubed.

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