Ellipsoid Volume and Surface Area Calculator

Calculate the volume and approximate surface area of an ellipsoid quickly with this Ellipsoid Volume and Surface Area Calculator.

Formula

Volume: V = 4/3 π a b c
Surface Area (approx.): S ≈ 4 π ((a^p b^p + a^p c^p + b^p c^p)/3)^(1/p), p≈1.6075

a, b, c = semi-axes of ellipsoid
π ≈ 3.14159

Popular Examples

a	b	c	Volume	Surface Area
2	3	4	100.530965	130.354813
1	1	2	8.377580	12.566371
3	3	3	113.097336	113.097336
2	2	1	16.755160	24.352148
1	2	3	25.132741	36.282876

How To Calculate Without A Calculator

1. Measure the semi-axes a, b, c.
2. Apply the volume formula: V = 4/3 π a b c.
3. Approximate the surface area using the formula with p ≈ 1.6075.
4. Compute results manually or with a scientific calculator.

About This Calculator

The Ellipsoid Volume and Surface Area Calculator provides quick results with six-decimal precision. Useful for students, engineers, and geometric modeling.

Interesting Facts About Ellipsoids

• The Earth is approximately an oblate ellipsoid.
• Ellipsoids are used in physics, astronomy, and engineering.
• Volume depends on the product of three semi-axes.
• Surface area calculation is only approximate for irregular ellipsoids.
• Ellipsoids appear in optics and planetary science.