Volume Calculator

The following is a list of volume calculators for several common shapes. Please fill the corresponding fields and click the "Calculate" button to use.

Ball Volume Calculator

Ball Radius
 

Cone Volume Calculator

Radius of the Base
Height
 

Cube Volume Calculator

Edge Length
 

Cylindrical Tank Volume Calculator

Base Radius
Length
 

Rectangular Tank Volume Calculator

Length
Width
Height
 


Reference

Volume is the three-dimensional space a substance occupies. Volumes of many simple shapes can be calculated by using simple formulas. More complicated shapes sometimes can be cut into simple shapes and add the volumes up for the total. Some other complicated shapes can be calculated by integral calculus if a formula exists for the shape's boundary. The volume of even more complicated shapes can be estimated with mathematical methods, such as finite element method. If the density is uniform, the volume of a substance can be calculated from the weight. This volume calculator provides solutions for some of the most common simple shapes.

Volume Formulas of Simple Shapes

Ball

    volume = 4/3πr3
    where r is the radius

Cone

    volume = 1/3πr2h
    where r is the radius of the base, h is the height

Cube

    volume = a3
    where a is the edge length

Cylinder

    volume = πr2h
    where r is the radius of the base, h is the height

Rectangular

    volume = abc
    where a, b, and c are the length of the three edges

Common Volume Units

Unitcubic meters milliliters
milliliter (cubic centimeter)0.0000011
cubic inch0.0000163916.39
pint0.000473473
quart0.000946946
liter0.0011,000
gallon0.0037853,785
cubic foot0.02831728,317
cubic yard0.764555764,555
cubic meter11,000,000
cubic kilometer1,000,000,0001015