Sphere Volume Calculator
V = (4/3)πr³. Surface area = 4πr².
Result
Volume
523.5988
(4/3)π × 5³ = 523.5988.
- Radius5
- Diameter10.0000
- Volume523.598776
- Surface area314.159265
- (4/3)π4.188790
Step-by-step
- V = (4/3)πr³ = 4.1888 × 125.0000 = 523.5988.
- Surface area = 4πr² = 12.5664 × 25.0000 = 314.1593.
How to use this calculator
- Enter radius.
- Read volume + surface area.
About this calculator
A sphere is the most symmetric 3D shape. Volume V = (4/3)πr³; surface area = 4πr². Doubling the radius multiplies volume by 8 and surface area by 4. Of all closed surfaces enclosing a given volume, the sphere has the smallest surface area — why bubbles, droplets, and stars are spherical. Earth's radius ≈ 6371 km; volume ≈ 1.083 × 10¹² km³.
Frequently asked
Comes from integrating π(R² − x²) from −R to R via calculus. (4/3) appears naturally.
Related calculators
Cylinder Volume Calculator
V = πr²h. Surface area = 2πr² + 2πrh (top + bottom + side).
Cone Volume Calculator
V = (1/3)πr²h. One-third of the cylinder of same base and height.
Cube Volume Calculator
V = s³. Six equal square faces.
Rectangular Prism Volume
V = l × w × h. Box / cuboid volume.
Circle Circumference Calculator
C = 2πr (or πd). Area = πr². The fundamental circle formulas.
Cube Root Calculator (∛n)
∛n with perfect-cube detection, simplified surd form, and decimal expansion.