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Use this volume calculator to calculate the volume for the three-dimensional geometrical shapes. It provides calculations for a volume in different units and also shows the formula to find the volume for a selected shape.

**“The amount of Space Enclosed by a 3D Object” **

Volume is also known as the boundary of an object. The SI unit for volume is cubic meters

As we know, all the bodies or objects don’t have the same shape. They have different shapes and dimensions. So there are different formulas for calculating the volume of each shape. To find the volume of any object or shape, use the corresponding volume equation.

The formulas that are used to calculate the volume of different objects or geometric solids are as follows:

All the edges of a cube are of equal length. That’s why the formula that is used for calculating the cube volume is:

Volume = (side length)^{3}

A rectangular shape has equal edges and the rectangular volume is calculated as:

Volume = length × width × height

It is also known as the volume of a box and is calculated in the same way as we calculate the rectangle volume.

A square is a two dimensions shape, it does not have any volume so its area can be calculated as:

Area = Side length x Side length

A sphere does not have any face, edges, or vertices, it's a circle whose volume is calculated by using the following formula:

Volume = 4 3 × π × radius^{3}

The space enclosed by the cylindrical shape is known as the cylinder volume. Use the following formula to calculate it:

Volume Formula = π × (radius)^{2} × height

Use the below-mentioned formula to calculate the cone volume:

Volume = 1 3 × π × (radius)^{2} × height

A tube volume is the same as the volume of a hollow cylinder. Therefore, the formula for tube volume is as follows:

Volume = πh(R^{2} - r^{2}) 4

A circle is not a three-dimensional shape which is why there is no formula to calculate the volume of circle, it has an area and its formula is:

Area = πr^{2}

The hemisphere volume is half of the sphere volume and the formula that is used for it is as follows:

Volume = 2 3 × π × (r)^{3}

If you have a cylindrical column and you need to calculate its volume then you can use the following formula:

Volume = πr^{2}h

A pyramid has a polygonal base and triangle sides and they converge at a single point. This point is known as the apex or vertex. Let's take a look at the following formula for calculating volume of a Pyramid:

Volume = 1 3 × base area × height

When you cut the top of a cone or a pyramid form parallel to the base, the shape that you get is called the Truncated Pyramid.

V= h 3 (A₁ + A₂ + (A₁ × A₂)

When you cut the cone shape parallel to the base in a way, that the resultant shape has two circular bases and a curved surface connecting them, then it is known as Conical Frustum. See the following formula to calculate its volume:

V= 1 3 πh(R^{2} + r^{2} + Rr)

This shape resembles an elongated or flattened sphere. You can calculate the volume of an ellipsoid with the help of the following formula:

V = 4 3 πabc

It consists of two triangular bases and three rectangular lateral faces. The formula is a as follows:

V= 1 4 h(a+b+c)(b+c-a)(c+a-b)(a+b-c)

Side Length = 6 cm

By putting values in the cube volume formula:

Volume = (6)^{3} = 6 x 6 x 6 = 216 cm^{3}

Solution:

Height = 6 cm

Radius = 4 cm

Put these values in the cone volume formula:

Volume = 1 3 × π × radius^{2} × height

Volume = 1 3 × 3.14 × (4)^{2} × 6

Volume = 1 3 × 3.14 × 16 × 6 = 100.48 cm^{3}

To make complex calculations easier, you can use our online volume calculator for free.

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 | 1015 |

The calculator is widely used in various fields, including:

**DIY And Home Improvement:**It helps to calculate the amount of material (paint, concrete, etc) required for renovations**Construction and Engineering work:**The calculator helps in estimating the volume of concrete, and measuring the capacity of various tanks, or storage containers**Science and Research:**It helps the scientist in finding the volume of cells or organs, and determine the density of compounds

**Surface Area:**It is a two-dimensional (2D) measure. Surface area refers to the total area of all the external faces of the object**Volume:**This is a three-dimensional (3D) measure, which represents the amount of space enclosed within the boundaries of an object

- Determine the container’s shape
- Measures the dimensions of the container
- Use the appropriate formula to calculate the volume of the shape
- If you don't know the dimensions of the container, then use the water displacement method to find the volume

The three common methods are as follows:

**Geometric Formulas:**It is used for regular shapes like spheres, cubes, cylinders, cones, or prisms**Water Displacement:**This method involves dipping the object in a water container and measuring the water level increase. The rise in the water is equal to the object's volume**Mass and Density:**This method is useful when the object's density (mass per unit volume) is already known. The volume is calculated by dividing the mass of the object by its density

**References:**

From the source of Wikipedia.org: Volume.

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