📐 Math
Volume Calculator
Determine the volume of common 3D shapes such as cubes, cylinders, spheres, and cones. Essential for packaging, construction, and geometry problems.
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Formula
Cylinder: V = πr²h | Sphere: V = (4/3)πr³ | Box: V = lwhr- Radius
h- Height
l, w, h- Length, Width, Height
Example
Finding the Volume of a Cylinder
Calculate the volume of a cylindrical tank with radius 3m and height 10m.
- Select the Cylinder shape.
- Enter radius r = 3 and height h = 10.
- Calculate the base area (πr²): π × 3² = 9π ≈ 28.27 m².
- Multiply by height: 28.27 × 10 = 282.7.
- Result: 282.7 cubic meters (m³).
Frequently Asked Questions
Volume is the amount of 3D space an object occupies, while capacity is the amount of liquid a hollow object can hold. For example, 1 cubic centimeter (volume) holds exactly 1 milliliter (capacity) of water.