How do I calculate the surface area of a sphere?

Enter the radius of the sphere into the calculator. The surface area is computed using the formula 4πr², where r is the radius. The result is displayed in square units.

What is the formula for the volume of a sphere?

The volume is calculated using the formula (4/3)πr³, where r is the radius. Enter the radius to get the volume in cubic units.

Can I use this calculator if I only know the diameter?

This calculator requires the radius. If you have the diameter, simply divide it by 2 to get the radius, then enter that value.

Matematicas

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Area of a Sphere Calculator.

Calculate sphere surface area and volume from radius.

Cálculo en el dispositivoSin registro

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02 / RESPUESTA

Radius

Surface area

314,159265units²

Volume

523,598776units³

Results update automatically as you type.

Use Cases

Math and Geometry Homework

Check your answers for sphere surface area and volume problems. Enter the radius to verify your calculations.

Example: Find the surface area of a sphere with radius 5 cm.

Engineering and Design

Quickly estimate material needs or capacity for spherical objects like tanks or balls.

Example: Calculate the volume of a spherical tank with radius 2 meters.

Frequently Asked Questions

How do I calculate the surface area of a sphere?: Enter the radius of the sphere into the calculator. The surface area is computed using the formula 4πr², where r is the radius. The result is displayed in square units.
What is the formula for the volume of a sphere?: The volume is calculated using the formula (4/3)πr³, where r is the radius. Enter the radius to get the volume in cubic units.
Can I use this calculator if I only know the diameter?: This calculator requires the radius. If you have the diameter, simply divide it by 2 to get the radius, then enter that value.

Tips & Common Mistakes

Tips

Ensure the radius is in the same unit system (e.g., all in meters or all in centimeters) to get consistent area and volume units.
Use the formula 4πr² for surface area and (4/3)πr³ for volume. This calculator does the math for you.
If you have a diameter, halve it to get the radius before entering it.
Double-check your radius value for accuracy, as small errors can significantly affect volume calculations.

Common Mistakes to Avoid

Entering the diameter instead of the radius. Remember to divide the diameter by 2.
Confusing surface area and volume units: surface area is in square units, volume in cubic units.
Using an inconsistent unit system, such as mixing meters and centimeters, which leads to incorrect results.

Last updated: August 13, 2026