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

Radius (r)
 

Cone Volume Calculator

Base Radius (r)
Height (h)
 

Cube Volume Calculator

Edge Length (a)
 

Cylindrical Tank Volume Calculator

Base Radius (r)
Height (h)
 

Rectangular Tank Volume Calculator

Length (l)
Width (w)
Height (h)
 

Capsule Volume Calculator

Base Radius (r)
Height (h)
 

Cap Volume Calculator

Please provide any two values below to calculate.

Base Radius (r1)
Ball Radius (r2)
Height (h)
 

Conical Frustum Volume Calculator

Top Radius (r2)
Bottom Radius (r1)
Height (h)
 

Ellipsoid Volume Calculator

Axis 1 (a)
Axis 2 (b)
Axis 3 (c)
 

Square Pyramid Volume Calculator

Base Edge (a)
Height (h)
 

RelatedSurface Area Calculator | Area Calculator


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

Capsule

    volume = πr2h + 4/3πr3
    where r is radius of the base, h is the height

Ball Cap

    volume = 1/3πh2(3r2 - h)
    where r2 is radius of the ball, h is the height

Conical Frustum

    volume = 1/3πh(r12 + r1r2 + r22)
    where r1 and r2 are radius of the two side, h is the height

Ellipsoid

    volume = 1/3πabc
    where a, b, and c are length of the three axis

Square Pyramid

    volume = 1/3a2h
    where a is the edge length of the base, h is the height

Any Pyramid

    volume = 1/3Ah
    where A is area of the base, h is the height

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