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Volume of a Cylinder Tank

Cylinder Volume Formula:

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

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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, designers, and students determine the capacity of cylindrical containers or tanks.

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 liquid storage capacity, material requirements, 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 units.

Q2: How accurate is the calculation?
A: The calculation is mathematically precise, using π to 15 decimal places in the PHP calculation.

Q3: Does this work for partially filled tanks?
A: No, this calculates total volume. For partial fills, you'd need additional calculations.

Q4: Can I calculate diameter instead of radius?
A: Yes, just divide your diameter by 2 before entering it as the radius.

Q5: How do I convert between different volume units?
A: After getting the result, use conversion factors (e.g., 1 m³ = 1000 liters, 1 ft³ = 7.48 gallons).

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