Volume Calculator
Calculate the volume of various 3D shapes including cubes, cylinders, spheres, cones, and pyramids. Get instant results with step-by-step explanations.
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Shape Selection
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What is Volume?
Volume is the measure of the space occupied by a three-dimensional object. It's calculated in cubic units such as cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), or cubic feet (ft³).
Volume Formulas:
- Cube: V = side³
- Rectangular Prism: V = length × width × height
- Cylinder: V = π × radius² × height
- Sphere: V = (4/3) × π × radius³
- Cone: V = (1/3) × π × radius² × height
- Pyramid: V = (1/3) × base area × height
Applications of Volume:
- Container capacity calculations
- Material quantity estimation
- Fluid displacement measurements
- Architecture and construction
- Packaging and shipping
- Scientific and engineering calculations
Frequently Asked Questions
How do I calculate volume?
Volume depends on the solid: a box is length × width × height; a cylinder is π × radius² × height; a sphere is (4/3)πr³. Select the shape and enter its dimensions.
What units is volume measured in?
Volume uses cubic units — cubic meters (m³), liters, cubic feet (ft³), and so on. It measures the space a 3D object occupies.
How do I find the volume of a cylinder?
Multiply pi by the radius squared by the height: V = πr²h. A cylinder with radius 3 and height 10 holds π × 9 × 10 ≈ 282.7 cubic units.
How do I calculate the volume of a sphere?
Use V = (4/3)πr³. A sphere of radius 5 has a volume of (4/3) × π × 125 ≈ 523.6 cubic units.