Volume Calculator
Inputs
Select a shape and enter its dimensions to calculate the volume.
Understanding Volume
Volume is a measure of the amount of 3-dimensional space occupied by an object. It is quantified in cubic units (e.g., cubic meters, cubic feet, liters).
Volume formulas are essential in various fields, including construction (concrete, insulation), chemistry (liquid solutions), and shipping (cargo space).
Volume Formulas
Cylinder
A stack of circles.
V = πr²hSphere
A perfectly round ball.
V = (4/3)πr³Cone
Example: Ice cream cone.
V = (1/3)πr²hRectangular Prism
A box shape.
V = l × w × hCommon Units
- Cubic Meters (m³): Standard SI unit for volume.
- Liters (L): Common for liquids (1 m³ = 1000 L).
- Cubic Feet (ft³): Common in US construction.
- Gallons (gal): Common for liquids in US (1 ft³ ≈ 7.48 gallons).
Frequently Asked Questions
What is the difference between Volume and Capacity?
They are very similar. Volume usually refers to the space an object occupies, while Capacity refers to how much a container can hold (often liquids).
How do I calculate volume of irregular objects?
For irregular objects, displacement is often used. Submerge the object in water and measure how much the water level rises. That rise equals the object's volume.
Why is the cone formula 1/3?
Geometrically, a cone occupies exactly one-third of the volume of a cylinder with the same base and height.