Sphere Volume and Surface Area Calculator
Enter a sphere’s radius to calculate its volume and surface area.
Sphere Volume and Surface Area Calculator
Calculate the volume and surface area of a sphere from its radius.
This is a mathematical calculation. Volume will be in cubic units and surface area in square units, matching whatever unit the radius was entered in.
A sphere’s volume and surface area are both determined entirely by its radius. This calculator applies the standard formulas — volume equals four-thirds pi times the radius cubed, and surface area equals four pi times the radius squared.
Example
- With the default values shown above, this calculator returns: Volume ≈ 523.599; Surface Area ≈ 314.159.
Frequently Asked Questions
What formulas does this use?
Volume = (4/3) × π × r³, and Surface Area = 4 × π × r², the standard geometric formulas for a sphere.
Does this work for a hemisphere?
No — these formulas are for a full sphere. A hemisphere’s volume and curved surface area would each be exactly half of these values, plus its flat circular base for total surface area.