Math

Sphere Volume and Surface Area Calculator

Enter the radius to find the volume and surface area of a sphere.

By TheCalcTools Updated Formula checked and tested

Your numbers

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Volume
Volume
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Surface area
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Diameter
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Sphere Volume and Surface Area Calculator by TheCalcTools

How the Sphere Volume and Surface Area Calculator works

Enter the radius.

Volume is four-thirds π times r cubed; surface area is 4π times r squared.

Volume is in cubic units and area in square units.

The formula

V = 4⁄3 πr³A = 4πr²

Worked example

Using the default values shown in the calculator:

Radius (r)3
  1. Volume = 4⁄3 × π × 3³ = 113.0973.
  2. Surface area = 4 × π × 3² = 113.0973.

Result:

Volume113.0973
Surface area113.0973
Diameter6.0000

Frequently asked questions

How do I get the radius from the volume?

Rearrange: r = ∛(3V ÷ 4π).

Why is the surface area four times the circle area?

Archimedes showed that a sphere’s surface area equals four great circles, 4πr².

Sources and further reading

Cylinder Volume CalculatorEnter the radius and height to find a cylinder's volume and surface area Cone Volume CalculatorEnter the radius and height of a cone to find its volume, slant height and surface area Circle CalculatorEnter the radius to get the diameter, circumference and area of a circle Triangle Calculator (Solve Any Triangle: SSS, SAS, ASA)Choose what you know and enter the values Triangle Area Calculator (Heron's Formula)Enter three side lengths to find the triangle's area, perimeter and angles Pythagorean Theorem CalculatorSolve for any side of a right triangle using a² + b² = c²

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