Volume of Sphere Calculator Formula
Understand the math behind the volume of sphere calculator. Each variable explained with a worked example.
Formulas Used
Volume
volume = (4 / 3) * pi * r^3Surface Area
surface_area = 4 * pi * r^2Diameter
diameter = 2 * rVariables
| Variable | Description | Default |
|---|---|---|
r | Radius | 5 |
How It Works
How to Calculate the Volume of a Sphere
Formula
V = (4/3) × π × r³
Where:
Surface Area
SA = 4 × π × r²
Worked Example
Find the volume of a sphere with radius 5.
r = 5
- 01V = (4/3) × π × 5³
- 02= (4/3) × π × 125
- 03= (4/3) × 392.699
- 04≈ 523.5988
Frequently Asked Questions
How do you find the volume of a sphere?
Use the formula V = (4/3)πr³. Cube the radius, multiply by π, then multiply by 4/3.
What is the relationship between sphere volume and radius?
Volume is proportional to the cube of the radius. Doubling the radius increases the volume by a factor of 8 (2³).
Ready to run the numbers?
Open Volume of Sphere Calculator