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Cylinder Volume Formula:
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The volume of a circular cylinder is calculated using the formula V = πr²h, where r is the radius of the circular base and h is the height of the cylinder. This formula is derived from the area of the circular base multiplied by the height.
The calculator uses the cylinder volume formula:
Where:
Explanation: The formula calculates the space occupied by a right circular cylinder by multiplying the area of its circular base (πr²) by its height (h).
Details: Calculating cylinder volume is essential in various fields including engineering, architecture, manufacturing, and fluid dynamics. It helps determine capacity of containers, pipes, and other cylindrical structures.
Tips: Enter the radius and height in consistent units. Both values must be positive numbers. The result will be in cubic units of the input measurements.
Q1: What units should I use for radius and height?
A: Use any consistent units (meters, centimeters, inches, etc.). The volume result will be in cubic units of your input measurements.
Q2: Does this formula work for oblique cylinders?
A: No, this formula is specifically for right circular cylinders where the sides are perpendicular to the base. For oblique cylinders, different calculations are needed.
Q3: How accurate is the π value used in calculations?
A: The calculator uses PHP's built-in M_PI constant which provides π with approximately 14 decimal places of precision, sufficient for most practical applications.
Q4: Can I calculate partial cylinder volumes?
A: This calculator provides the volume for a complete cylinder. For partial volumes (like partially filled cylindrical tanks), additional calculations considering the fill level are required.
Q5: What if my cylinder has different units for radius and height?
A: Always use consistent units for both measurements. If they differ, convert one measurement to match the other unit before calculation.