Calculators
Elliptical Cone Calculator
Calculate right elliptical cone volume and base area from two semi-axis lengths and perpendicular height privately in your browser.
Find the volume of a cone with an elliptical base.
A right elliptical cone has an elliptical base and an apex directly above the base center. Enter perpendicular semi-axes a and b, each half a full base width, and perpendicular height h. Base area B = πab; volume V = πabh/3; full base widths are 2a and 2b. For a = 3, b = 2 and h = 5, base area is 6π ≈ 18.8495559215 square units and volume is 10π ≈ 31.4159265359 cubic units. Equal semi-axes give a circular cone. Either semi-axis may be the larger one. Base area excludes the curved side and is not total surface area. Height is the perpendicular distance from the apex to the base plane, not a slant length. Use one consistent length unit, from 1e-50 to 1e50; scientific notation is accepted. Results use browser floating-point arithmetic rounded to 12 significant digits. All calculations stay in your browser.
Frequently Asked Questions
Everything you need to know about this tool, how it works, and privacy.
How do I calculate elliptical cone volume?
Use V = πabh/3, where a and b are base semi-axes and h is perpendicular height. Semi-axes 3 and 2 with height 5 give 10π, approximately 31.4159265359 cubic units.
Should I enter full widths or semi-axes?
Enter half of each full base width along the two perpendicular ellipse axes. Either semi-axis may be larger. Equal semi-axes give a circular cone.
Does base area include the curved surface?
No. Base area is πab and excludes the curved side. This calculator does not report lateral or total surface area.
Which height and units should I use?
Enter perpendicular height from the base plane to the centered apex, not a slant length. Use the same length unit for all inputs, from 1e-50 to 1e50. Scientific notation is accepted. Calculations run locally in your browser.