Smart Volume Calculator

Use our advanced AI to calculate the volume of different geometric shapes. Support for cubes, rectangular prisms, spheres, cylinders, cones, and pyramids.

Volume Calculator

Shape Data

Enter the dimensions of the geometric shape

Shape Data

Enter the dimensions of the geometric shape

Choose the geometric shape to calculate the volume

Enter the side length of the cube

Volume Result

Volume calculated with precision

Calculation Result

Details of your calculation

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Waiting for Calculation

Fill in the data to see the result here

Worked volume examples

See the formula applied step by step in three common cases: a cube, a cylinder and a sphere.

Volume of a cube with a 3 cm edge

  1. Formula

    Selected shape: Cube. The volume is given by the formula:

    V = a³

  2. Substitution

    Plug the measurements you entered into the formula:

    V = 3³

  3. Power

    Work out the power first:

    3³ = 3 × 3 × 3 = 27

  4. Result

    Volume is expressed in cubic units (cm³):

    V = 27 cm³

Answer: the volume is 27 cm³.

Volume of a cylinder with a 5 cm radius and 10 cm height

  1. Formula

    Selected shape: Cylinder. The volume is given by the formula:

    V = πr²h

  2. Substitution

    Plug the measurements you entered into the formula:

    V = π × 5² × 10

  3. Power

    Work out the power first:

    5² = 25

  4. Multiplication

    Multiply the factors:

    π × 25 × 10 ≈ 785.398

  5. Result

    Volume is expressed in cubic units (cm³):

    V ≈ 785.398 cm³

Answer: the volume is 785.398 cm³.

Volume of a sphere with a 2 cm radius

  1. Formula

    Selected shape: Sphere. The volume is given by the formula:

    V = (4/3)πr³

  2. Substitution

    Plug the measurements you entered into the formula:

    V = (4/3) × π × 2³

  3. Power

    Work out the power first:

    2³ = 8

  4. Multiplication

    Multiply the factors:

    4 × π × 8 ≈ 100.531

  5. Division

    Divide the result by 3:

    100.531 ÷ 3 ≈ 33.5103

  6. Result

    Volume is expressed in cubic units (cm³):

    V ≈ 33.5103 cm³

Answer: the volume is 33.5103 cm³.

How It Works

1

Choose the Shape

Select the geometric shape you want to calculate the volume for.

2

Enter the Dimensions

Type in the required measurements for the selected shape.

3

Detailed Result

Receive the calculated volume with formula and additional properties.

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