Ellipsoid Volume Calculator
Find the volume of a three-dimensional ellipse. Simply enter the length of the three semi-axes (distance from center to surface) to get the result.
Volume (V) = (4/3) × π × a × b × c
If a=5, b=4, c=3: V = (4/3) * π * 5 * 4 * 3 = 80π ≈ 251.33
What is an ellipsoid?
An ellipsoid is a three-dimensional surface that is the analog of an ellipse in two dimensions. It is essentially a stretched or squashed sphere.
What is the volume formula for an ellipsoid?
The volume of an ellipsoid is calculated using the three semi-axes (a, b, and c): V = (4/3)πabc.
What is a semi-axis?
A semi-axis is the distance from the center of the ellipsoid to its surface along one of the three principal axes. If all semi-axes are equal (a = b = c), the ellipsoid is a sphere.
What is a prolate vs oblate ellipsoid?
A prolate ellipsoid is elongated like a rugby ball (two axes equal, one longer). An oblate ellipsoid is flattened like a lentil or the Earth (two axes equal, one shorter).
🔗 Related Calculators
📐 Formula
Volume (V) = (4/3) × π × a × b × c
📝 Example Calculation
If a=5, b=4, c=3: V = (4/3) * π * 5 * 4 * 3 = 80π ≈ 251.33
❓ Frequently Asked Questions
What is an ellipsoid?▼
An ellipsoid is a three-dimensional surface that is the analog of an ellipse in two dimensions. It is essentially a stretched or squashed sphere.
What is the volume formula for an ellipsoid?▼
The volume of an ellipsoid is calculated using the three semi-axes (a, b, and c): V = (4/3)πabc.
What is a semi-axis?▼
A semi-axis is the distance from the center of the ellipsoid to its surface along one of the three principal axes. If all semi-axes are equal (a = b = c), the ellipsoid is a sphere.
What is a prolate vs oblate ellipsoid?▼
A prolate ellipsoid is elongated like a rugby ball (two axes equal, one longer). An oblate ellipsoid is flattened like a lentil or the Earth (two axes equal, one shorter).