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Elliptical cylinder calculator

An oval cross-section uses two semi-axes. Enter a, b and the height for the volume of an elliptical cylinder or oval tank.

Not every cylinder is perfectly round. An elliptical cylinder has an oval cross-section, and this elliptical cylinder calculator sizes it with the formula V = π a b h, where a and b are the two semi-axes of the oval.

How the calculation works

  1. Measure the two semi-axes a and b of the oval end.
  2. Measure the height (or length).
  3. The oval base area is π a b.
  4. Multiply by the height: V = π a b h.

Worked example. Take a cylinder with a diameter of 20 cm (so a radius of 10 cm) and a height of 40 cm. The base area is π × 10² = 314.16 cm², and multiplying by the height gives a volume of about 12.57 litres (12,566 cm³ · 3.32 US gallons).

For anything that holds liquid, measure the inside of the cylinder — the wall takes up space that the contents cannot.

Every elliptical cylinder page

Each page below targets a specific question and opens with the calculator ready to go:

Frequently asked questions

What is the formula for an elliptical cylinder?
V = π a b h, where a and b are the semi-axes (half the width and half the depth of the oval) and h is the height.
How is it different from a round cylinder?
A round cylinder is the special case where a = b = r. When the two semi-axes differ, the base is an oval and you multiply them together instead of squaring one radius.

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