Sphere Volume
Calculator
Results
- Volume
- 523.598775
- Total surface area
- 314.159265
- Great-circle area
- 78.539816
Results
| Volume | 523.598775 |
| Total surface area | 314.159265 |
| Great-circle area | 78.539816 |
formula-map diagram
- Volume
- 523.598775
- Total surface area
- 314.159265
- Great-circle area
- 78.539816
Formula map
Formula
V = 4⁄3 × π × r³= 523.5987755983
Note
Simplified model: these are exact results of the stated idealised formulas, assuming perfect shapes and exact inputs. Real measurements carry error, and the ellipse perimeter is a Ramanujan approximation. Verify independently before relying on these figures.
More in Mathematics
See all →Frequently asked questions
What does this calculator compute?+
It computes the volume and surface area of a sphere from its radius. Volume is (4/3)πr³ and surface area is 4πr².
Why does volume grow so much faster than radius?+
Volume depends on the cube of the radius, so a small increase in radius produces a large increase in volume. Doubling the radius multiplies the volume by 8 (2³), not 2.
What units should I use?+
Enter the radius in whatever unit you like (cm, in, m); the volume result will be in that unit cubed and the surface area in that unit squared. Stay consistent — mixing cm for radius with an expected answer in meters will give a wrong-looking number.
How do I find the volume if I only have the diameter?+
Divide the diameter by 2 to get the radius first. Plugging the diameter directly into the radius field will give you a sphere eight times too large.
Is this the same formula used for a ball or a spherical tank?+
Yes, any perfect sphere — a ball, a spherical storage tank, a bubble — uses the same formulas. For a tank that is only partially full, you need a different formula for a spherical cap, which this calculator does not cover.