Volume Calculator
Calculate your Volume of shapes in seconds with the free Volume Calculator. No registration needed.
Shape
Volume
What is a Volume Calculator?
A volume calculator determines the three-dimensional space occupied by shapes like boxes (rectangular prisms), spheres, cylinders, and cones. It applies the correct geometric formula for each shape.
How to calculate volume manually (the formula)
Box: V = l × w × h. Sphere: V = &frac43;πr3. Cylinder: V = πr2h. Cone: V = ⅓πr2h. All dimensions must use the same unit.
Example calculation
Find the volume of a cylinder with radius 3 and height 7. V = π × 32 × 7 = π × 9 × 7 = π × 63 ≈ 197.92 cubic units.
Common mistakes
- Using the wrong formula for the shape — A sphere uses r3, a cylinder uses r2h. They are not interchangeable.
- Forgetting the ⅓ for cones — A cone is one-third of a cylinder with the same base and height. Omitting ⅓ triples the result.
- Mixing units — All dimensions must be in the same unit. The result will be in cubic units of whatever unit you used.
Frequently asked questions
What is volume?
Volume is the amount of three-dimensional space an object occupies, measured in cubic units like in\u00b3, ft\u00b3, or m\u00b3.
How do you calculate the volume of a rectangular prism?
Multiply length by width by height: V = l \u00d7 w \u00d7 h. All dimensions must be in the same unit.
How do you calculate the volume of a cylinder?
Use V = \u03c0r\u00b2h. Multiply pi by the radius squared, then by the height.
How do you calculate the volume of a sphere?
Use V = \u00be\u2084\u03c0r\u00b3. Multiply \u00be\u2084 by pi and the radius cubed.
What units are used for volume?
Volume is expressed in cubic units: cubic inches, cubic feet, cubic meters, or capacity units like gallons and liters.
How do you calculate the volume of a cone?
Use V = \u2153\u03c0r\u00b2h. Multiply one-third by pi, the radius squared, and the height.