Math

Sphere Volume Calculator

Sphere volume and surface area.

Enter your values

Enter the radius you are working with.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

Results
Volume
523.5988
Surface area
314.1593
Diameter
10
Great circle circumference
31.4159
Volume in litres (if cm)
0.5236

Quick answer

A sphere's volume is (4/3)πr³ and its surface area is 4πr².

V = (4/3)πr³, A = 4πr²

At a glance

What it doesSphere volume and surface area.
CategoryMath
Inputs neededRadius
Main outputVolume
FormulaV = (4/3)πr³, A = 4πr²
CostFree — no sign-up, no download

How to use the Sphere Volume Calculator

  1. 1Enter the sphere's radius.
  2. 2Read volume and surface area.
  3. 3Halve the diameter if that is what you measured.

Inputs explained

Radius
Enter the radius you are working with.

Worked example

Using the values the calculator loads with:

Inputs

  • Radius5

Results

  • Volume523.5988
  • Surface area314.1593
  • Diameter10
  • Great circle circumference31.4159
  • Volume in litres (if cm)0.5236

Frequently asked questions

How do I get radius from volume?

r = ∛(3V/4π).

Why 4πr²?

It is the derivative of the volume formula with respect to radius.

What do I need to enter into the Sphere Volume Calculator?

Just 1 value: radius. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Sphere Volume Calculator work out the answer?

A sphere's volume is (4/3)πr³ and its surface area is 4πr². It applies the formula V = (4/3)πr³, A = 4πr² and shows the working so you can check each step by hand.

Is the Sphere Volume Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.