Reckoning

Reckoning / Shape / Obliquely cut cylinder

Solid · Round solids

Obliquely cut cylinder

A cylinder cut by a slanted plane, like a ventilation duct elbow piece.

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Dimensions

Results

volume V
curved surface L

Formulas

A copy turned over completes a cylinder of height h₁ + h₂, so this is exactly half of it: the mean height counts.

Checked: the V, L formula agrees with a Monte Carlo measurement of the shape itself, made from its geometric definition, every time the site is built.

Topology lens

Topologically a ball: its surface can be stretched onto a sphere without tearing, so its Euler characteristic is 2. More on the lens.