Sphere Volume Calculator (4/3·π·r³)
Enter the radius of a sphere in centimeters and instantly get its volume in cubic centimeters and liters using the formula V = (4/3)·π·r³.
Enter the radius to calculate the volume.
How it works
What this calculator does
This tool computes the volume of a perfect sphere from a single value: its radius. Provide the radius in centimeters and the calculator returns the volume in cubic centimeters (cm³) and liters.
It uses the standard geometry formula V = (4/3)·π·r³, where r is the radius and π ≈ 3.14159.
Why radius cubed matters
Because the radius is cubed, volume grows very quickly as the sphere gets larger. Doubling the radius makes the volume eight times bigger.
This is why small changes in the radius of balls, tanks, or droplets can lead to large differences in capacity.
Frequently asked questions
›What is the formula for the volume of a sphere?
The volume of a sphere is V = (4/3)·π·r³, where r is the radius.
›What unit should I use for the radius?
Enter the radius in centimeters (cm); the result is given in cm³ and liters.
›How do I convert cm³ to liters?
Divide the volume in cm³ by 1000, since 1 liter equals 1000 cm³.
›Can I use the diameter instead?
First divide the diameter by 2 to get the radius, then enter that value.
›What value of π does the tool use?
It uses a high-precision value of π (≈ 3.14159) for accurate results.
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