How to Use the Volume Calculator
This volume calculator allows you to compute the volume of common geometric shapes. Follow the steps below to perform a calculation:
Select a Shape
On the homepage, you will find calculators for various geometric shapes, including sphere, cone, cube, cylinder, rectangular box, capsule, spherical cap, conical frustum, ellipsoid, square pyramid, tube, and hemisphere. Locate the shape that corresponds to the object you wish to calculate.
Enter the Dimensions
Each shape requires specific measurements. Enter the values in the input fields provided:
- Sphere/Hemisphere: Radius (r)
- Cone/Cylinder: Radius (r) and Height (h)
- Cube: Edge length (a)
- Rectangular Box: Length, Width, and Height
- Capsule: Radius and cylindrical Height
- Ellipsoid: Three semi-axes (a, b, c)
- Square Pyramid: Base edge (a) and Height (h)
- Tube/Pipe: Outer radius, Inner radius, and Length
Select Your Unit of Measurement
Choose from the available units in the dropdown menu:
- m — meters
- cm — centimeters
- mm — millimeters
- in — inches
- ft — feet
- yd — yards
The result will be displayed in cubic units of your selected measurement (e.g., m³, cm³, in³).
Click Calculate
Press the Calculate button to compute the volume. The result will appear below the button. You may also press Enter on your keyboard after entering values to perform the calculation.
Tips for Accurate Calculations
- Use consistent units. Ensure all measurements are in the same unit before entering them.
- Measure accurately. The accuracy of your result depends on the accuracy of your input measurements.
- Select the appropriate shape. For complex objects, identify which basic geometric shape most closely matches, or decompose the object into multiple simpler shapes.
- Decimal values are accepted. You may enter decimal values for precise measurements, such as 3.5 or 0.25.
- Verify the formula. Each calculator displays the formula used, allowing you to confirm the calculation method.
Example Calculation
Problem: Calculate the volume of a cylindrical water tank with a radius of 2 meters and a height of 5 meters.
- Find the Cylinder calculator on the homepage
- Enter 2 in the Radius field
- Enter 5 in the Height field
- Select m (meters) as the unit
- Click Calculate
Result: Volume = 62.8319 m³
Formula used: V = πr²h = π × 2² × 5 = π × 4 × 5 = 62.8319 m³