Volume Calculator

Calculate volume of common 3D shapes

Volume 0

What Is Volume?

Volume is a measure of the amount of three-dimensional space occupied by an object or a substance. It is commonly quantified in units such as cubic meters (m³), cubic centimeters (cm³), liters, or gallons.

Whether you are calculating how much water a swimming pool can hold, the capacity of a container, or the amount of soil needed for a garden bed, calculating volume is a fundamental practical skill.

How to Use This Volume Calculator?

This calculator supports five common geometric shapes. Simply select the shape you want to calculate, enter the required dimensions, and click Calculate:

Cube: A shape with six equal square faces. You only need to enter the length of one side.
Cuboid: A box-shaped object. You need to enter length, width, and height.
Cylinder: A shape with two parallel circular bases. You need to enter the radius of the base and the height.
Sphere: A perfectly round geometrical object. You only need to enter the radius.
Cone: A shape that tapers smoothly from a flat base to a point. You need to enter the base radius and the height.

Geometric Formulas for Volume

Cube: V = s³ (where s is the side length)
Cuboid: V = l × w × h (length × width × height)
Cylinder: V = π × r² × h (where r is radius and h is height)
Sphere: V = (4/3) × π × r³
Cone: V = (1/3) × π × r² × h

Frequently Asked Questions (FAQs)

What is the difference between Volume and Capacity?

Volume refers to the amount of space an object occupies. Capacity refers to the amount of substance (like liquid or gas) that a container can hold. They are often measured in the same units, but capacity specifically refers to the internal space of a hollow object.

How do I convert cubic meters to liters?

One cubic meter (m³) is exactly equal to 1,000 liters. So, to convert m³ to liters, simply multiply the volume by 1,000.

Why is the volume of a cone exactly one-third of a cylinder?

If a cone and a cylinder have the same base radius and the same height, the volume of the cone will always be exactly one-third of the volume of the cylinder. This is a fundamental property proven by calculus!