Volume Calculator

Find the Space Occupied by 3D Shapes

This calculator helps you find the volume of common three-dimensional shapes. Choose a shape like a cube, sphere, or cylinder, input the necessary dimensions, and it will compute the total volume the shape occupies. It's great for math homework, science projects, and practical problems like finding the capacity of a container.

The Volume Formulas Explained

• Cube: Volume = Side³
• Sphere: Volume = (4/3) * π * Radius³
• Cylinder: Volume = π * Radius² * Height

How to Use the Calculator

1. Select Shape: Choose the tab for the shape you want to calculate (Cube, Sphere, or Cylinder).
2. Enter Dimensions: Input the required dimensions for that shape (e.g., Side length for a cube).
3. Calculate Volume: Click the button to see the calculated volume.

Real-World Example

You have a cylindrical water tank with a radius of 2 meters and a height of 5 meters.

1. Select the 'Cylinder' tab.
2. Enter 2 for Radius and 5 for Height.
3. Calculation: Volume = π * 2² * 5 = π * 4 * 5 ≈ 62.83 cubic meters.

Frequently Asked Questions (FAQ)

• What units will the result be in? The volume will be in cubic units of whatever measurement you used. If you entered dimensions in meters, the volume will be in cubic meters.
• How is volume different from surface area? Volume is the measure of the 3D space inside an object. Surface area is the total area of the outside surfaces of the object.
• Can I calculate the volume of a cone or pyramid? This calculator focuses on a few common shapes. The formula for a cone is V = (1/3)πr²h and for a pyramid is V = (1/3) * Base Area * Height.