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Cylinder Tank Volume Formula

Cylinder Volume Formula:

\[ V = \pi \times r^2 \times h \]

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1. What is a Cylinder Tank Volume Calculator?

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

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \pi \times r^2 \times h \]

Where:

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 storage capacity planning, liquid containment, and structural design.

4. Using the Calculator

Tips: Enter the radius and height in the same units (e.g., both in meters or both in feet). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: You can use any units (meters, feet, inches) as long as both radius and height use the same unit.

Q2: How do I measure radius if I know the diameter?
A: Simply divide the diameter by 2 to get the radius.

Q3: Can this calculate liquid volume in a partially filled tank?
A: No, this calculates total volume. For partial fills, you'd need additional calculations.

Q4: How accurate is the calculation?
A: It's mathematically precise for perfect cylinders. Real-world tanks may have variations.

Q5: What's the value of π used?
A: The calculator uses PHP's built-in pi() function which provides π to about 14 decimal places.

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