Sphere Volume Calculator
Enter the radius of a sphere and this calculator returns four things at once: the volume, the surface area, the diameter and the great-circle circumference. Each value comes straight from the exact geometry formulas, making it handy for homework, ball and tank sizing, and any quick estimate that starts from one radius.
How to find the volume of a sphere
- Enter the radius of the sphere in the Radius field.
- Read the volume and surface area in the top two result cards.
- Check the diameter and great-circle circumference cards below them.
- Use the copy button to grab all four figures at once.
Examples
Radius of 3
radius = 3
volume = 113.097336, surface area = 113.097336
Radius of 5
radius = 5
volume = 523.598776, surface area = 314.159265
Unit sphere
radius = 1
volume = 4.18879, surface area = 12.566371
Frequently asked questions
What is the formula for the volume of a sphere?
Volume equals four thirds times pi times the radius cubed. Because the radius is cubed, doubling it makes the volume eight times larger, so small changes in radius have an outsized effect on volume.
What is the surface area of a sphere?
Surface area equals four times pi times the radius squared. For a radius of 3 the volume and the surface area happen to share the number 113.097336, which is a coincidence of that radius rather than a general rule.
Can I find the radius from a known volume?
Yes. The radius equals the cube root of three times the volume divided by four pi. The tool's engine includes this reverse calculation, so a sphere of a known volume can be turned back into a radius.
Do I enter the radius or the diameter?
The radius, which is half the diameter. If you measured all the way across the sphere, divide that figure by two first. The tool also reports the diameter as a result so you can check your input.
What units does the calculator use?
It is unit free. If you enter the radius in centimeters, the volume is in cubic centimeters and the surface area is in square centimeters. Keep every input in the same unit for a consistent answer.
What is the great-circle circumference?
It is the distance around the sphere through its widest point, equal to two times pi times the radius. This is the same as the circumference of a flat circle with that radius, such as the equator of a globe.
How do I get the volume of a ball in liters?
Enter the radius in centimeters so the volume is in cubic centimeters, then divide by 1000, because one liter is 1000 cubic centimeters. A basketball of radius 12 cm holds a little over seven liters of air.
Does this handle a hemisphere or a hollow ball?
Not directly. It models a solid sphere. For a hemisphere, halve the volume and adjust the surface area for the flat face. For a hollow shell, calculate the outer and inner spheres and subtract.
How accurate are the results?
The math uses the full value of pi and rounds to six decimal places for display, which is more precise than almost any physical measurement. The accuracy of your answer depends mostly on how well you measured the radius.
Learn more
- Sphere volume and surface area made clear
Why the sphere formulas cube and square the radius, how volume and area scale differently, and where the great-circle circumference fits in.
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