1. What is a Cylinder Volume Gallons Calculator?

Definition: This calculator computes the volume of a solid cylinder based on its radius (\( r \)) and height (\( h \)), displaying the result in multiple units, including US gallons and UK gallons.

Purpose: Useful in engineering, manufacturing, and everyday applications for determining the volume of cylindrical objects (e.g., tanks, pipes) in various units.

2. How Does the Calculator Work?

The calculation is based on the following formula:

Unit Conversions:

• Input (Length): mm (×0.1), cm (×1), m (×100), in (×2.54), ft (×30.48) to cm
• Volume (from cm³): m³ (×0.000001), in³ (×0.0610237), ft³ (×0.0000353147), liters (×0.001)
• Volume (from in³): US gallons (×0.0043), UK gallons (×0.0036)

3. Importance of Cylinder Volume Calculation

Details: Calculating the volume of a cylinder is essential in engineering (e.g., designing tanks), manufacturing, and storage, especially when working with units like gallons for liquid capacity.

4. Using the Calculator

Tips: Enter the radius \( r \) and height \( h \) in mm, cm, m, in, or ft (both must be >0). The result shows the volume in cm³, m³, in³, ft³, liters, US gallons, and UK gallons.

5. Example

Given: Radius \( r = 5 \, \text{cm} \), height \( h = 10 \, \text{cm} \).
Volume Calculation: \( V = \pi \times 5^2 \times 10 = \pi \times 25 \times 10 \approx 785.398 \, \text{cm}^3 \).
Conversions:
- \( \text{cm}^3 = 785.398 \),
- \( \text{m}^3 = 0.000785 \),
- \( \text{in}^3 = 785.398 \times 0.0610237 \approx 47.913 \),
- \( \text{ft}^3 = 785.398 \times 0.0000353147 \approx 0.0277 \),
- \( \text{liters} = 785.398 \times 0.001 \approx 0.785 \),
- \( \text{US gallons} = 47.913 \times 0.0043 \approx 0.206 \),
- \( \text{UK gallons} = 47.913 \times 0.0036 \approx 0.172 \).