Calculate The Volume Of The Following Figure.

Calculating the volume of various figures is a fundamental concept in geometry and physics. It helps us understand the space occupied by 3D objects and is crucial in architecture, engineering, and manufacturing.

1. Select the figure you want to calculate the volume for.
2. Enter the required dimension(s) in centimeters.
3. Click the ‘Calculate’ button.

The volume of a figure is calculated using specific formulas:

• Cube: V = a³
• Sphere: V = (4/3)πr³
• Cylinder: V = πr²h

Real-World Examples

Let’s calculate the volume of a cube, sphere, and cylinder with specific dimensions:

• Cube (side length = 5 cm): V = 5³ = 125 cm³
• Sphere (radius = 3 cm): V = (4/3)π(3)³ ≈ 113.097 cm³
• Cylinder (radius = 2 cm, height = 4 cm): V = π(2)²(4) = 16π ≈ 50.265 cm³

Data & Statistics

Volume of a Cube (cm³)

Side Length (cm)	Volume (cm^3)
3	27
5	125
7	343

Volume of a Sphere (cm³)

Radius (cm)	Volume (cm^3)
2	33.51
4	268.08
6	904.32

Expert Tips

• Always use consistent units for accurate results.
• For irregular shapes, you may need to use integration or 3D scanning technology.
• Consider the density of the material when calculating the weight of an object.

Interactive FAQ

What is the formula for calculating the volume of a cube?

V = a³

How do I calculate the volume of a sphere?

V = (4/3)πr³

For more information, check out these authoritative sources:

• Volume of a Cube – Omni Calculator
• Volume of a Sphere – Engineering ToolBox