Sphere Volume & Surface Area Calculator
Sphere Volume & Surface Area Calculator
The sphere calculator computes the volume (space inside) and surface area (outer skin) of a sphere given its radius.
Conversion Formula
Volume = (4/3) × π × r³ gives the total 3D space enclosed. Surface Area = 4 × π × r² gives the total area of the outer surface.
Step-by-Step Examples
Radius: 5 = Volume: 523.59877560, Surface Area: 314.15926536
V = (4/3)π(125) ≈ 523.6; SA = 4π(25) ≈ 314.2.
Radius: 1 = Volume: 4.18879020, Surface Area: 12.56637061
Unit sphere: V = 4π/3 ≈ 4.19; SA = 4π ≈ 12.57.
Frequently Asked Questions
How do I calculate the volume of a sphere?
Use V = (4/3)πr³. Cube the radius, multiply by π, then multiply by 4/3.
How do I calculate the surface area of a sphere?
Use SA = 4πr². Square the radius and multiply by 4π.
What units is volume in?
Volume is in cubic units. If the radius is in centimeters, volume is in cubic centimeters (cm³).
How do I find the radius from the volume?
Use r = ∛(3V / 4π). Multiply volume by 3, divide by 4π, and take the cube root.
What is the relationship between a sphere and a circle?
A sphere is the 3D equivalent of a circle. A circle is a 2D shape; a sphere extends it into three dimensions.