1. What is a Cylinder Volume Calculator?

Definition: This calculator computes the volume of a cylindrical tank based on its radius and height.

Purpose: It helps engineers, architects, and DIYers determine the capacity of cylindrical containers, tanks, or pipes.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume (cubic units)
• \( r \) — Radius of the base (units)
• \( h \) — Height of the cylinder (units)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the base area (πr²) and multiplies it by the height to get the total volume.

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for liquid storage capacity, material requirements, and structural design.

4. Using the Calculator

Tips: Enter the radius and height in the same units (inches, feet, meters, etc.). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What if my tank has different units for radius and height?
A: Convert both measurements to the same unit before calculation for accurate results.

Q2: Does this work for partially filled cylinders?
A: No, this calculates total volume. For partial fills, you'd need additional calculations.

Q3: How precise is the π value used?
A: PHP's pi() function provides about 14 decimal places of precision.

Q4: Can I use diameter instead of radius?
A: Yes, but you'd need to divide diameter by 2 first (radius = diameter/2).

Q5: What about irregular or oval tanks?
A: This calculator is for perfect cylinders only. Different formulas are needed for other shapes.