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.
Reference
Volume is the threedimensional 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 = 4/3πr^{3}
where r is the radius
Cone

volume = 1/3πr^{2}h
where r is the radius of the base, h is the height
Cube

volume = a^{3}
where a is the edge length
Cylinder

volume = πr^{2}h
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
Unit  cubic meters  milliliters 
milliliter (cubic centimeter)  0.000001  1 
cubic inch  0.00001639  16.39 
pint  0.000473  473 
quart  0.000946  946 
liter  0.001  1,000 
gallon  0.003785  3,785 
cubic foot  0.028317  28,317 
cubic yard  0.764555  764,555 
cubic meter  1  1,000,000 
cubic kilometer  1,000,000,000  10^{15} 