Adjust the dimensions in the panel to calculate volume and surface area. Ask me any question about the geometry!

Volume of a Sphere Calculator

Interactive 3D sphere — adjust radius, see volume update live

Calculate the volume of a sphere instantly with this free interactive 3D calculator. The formula is V = (4/3)πr³, where r is the radius of the sphere. Enter your radius in the panel and watch the 3D model scale in real time — volume and surface area are computed as you adjust.

Use this tool for real-world calculations: find the volume of a ball (basketball, soccer ball), estimate planetary volumes, calculate the air inside a balloon, or determine the capacity of spherical water tanks. For example, a sphere with radius 10 cm has a volume of approximately 4,189 cm³ (about 4.19 liters).

Need help understanding the math? The built-in AI chat assistant can walk you through the derivation, explain why the 4/3 factor appears, or help you solve geometry problems involving spheres.

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What is the volume of a sphere?
V = (4/3)πr³, where r is the radius.
What is the surface area of a sphere?
SA = 4πr².
How are volume and surface area related?
For a sphere, V = (r/3) × SA. This means the volume equals one-third of the radius times the surface area. As the radius doubles, volume increases 8× but surface area only 4×.
How do I use this sphere volume calculator?
Enter the radius in the input panel. The 3D model updates live as you adjust the slider. Volume and surface area are computed instantly and displayed below the model. You can also ask the AI chat assistant for step-by-step explanations or help with unit conversions.
What are real-world uses for sphere volume?
Calculating the volume of balls (sports, bearings), planetary and astronomical calculations, balloon and bubble volumes, spherical water tank capacity, dome volume estimation, and pharmaceutical capsule sizing. The formula V = (4/3)πr³ applies to all perfect spheres.