Volume Calculator (3D Solids, with Diagram)
Use this free volume calculator for cubes, rectangular prisms, cylinders, spheres, cones, and pyramids. Choose a solid, enter its measurements, and get the volume with a labeled diagram and the formula worked out.
The volume formulas
- Cube: V = s³
- Rectangular prism: V = l·w·h
- Cylinder: V = πr²h
- Sphere: V = ⁴⁄₃πr³
- Cone: V = ⅓πr²h
- Square pyramid: V = ⅓b²h
Always use the radius (half the diameter), and the answer comes out in cubic units.
Frequently asked questions
How do you find the volume of a cylinder?
Multiply the area of the circular base by the height: V = πr²h.
What is the volume of a sphere?
V = ⁴⁄₃πr³, using the radius r.
Why is a cone one-third of a cylinder?
A cone with the same base and height as a cylinder holds exactly one-third the volume: V = ⅓πr²h.
Read the full lesson: learn the method step by step.
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