Volume Calculator

Calculate the volume of any 3D shape — sphere, cylinder, cone, cube, and more.

Select 3D Shape

Volume

200

cubic units

Formula Used

V = l×w×h = 10×5×4

Volume Calculator Formula & How It Works

Cube: s³ | Sphere: 4/3πr³ | Cylinder: πr²h | Cone: ⅓πr²h
  • Rectangular prism (box): l × w × h
  • Pyramid: ⅓ × base area × height
  • Ellipsoid: 4/3 × π × a × b × c
  • Torus: 2π²Rr²

Volume measures the 3D space enclosed in cubic units. Most formulas derive from the prism formula (base area × height). A cylinder is a circular prism; a cone is 1/3 of a cylinder. The sphere formula (4/3πr³) comes from integration. Real-world applications: fluid storage, packaging, construction material estimation.

Volume Calculator FAQs

What is the volume of a sphere?

Volume = (4/3) × π × r³. For a sphere with radius 3: V = (4/3) × π × 27 ≈ 113.1 cubic units. Derived by Archimedes using the method of exhaustion.

What is the volume of a cylinder?

Volume = π × r² × h, where r is the base radius and h is the height. A cylinder with radius 4 and height 10: V = π × 16 × 10 ≈ 502.65 cubic units.

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