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Cylinder Volume Formula:
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The volume of a cylinder is calculated using the formula V = πr²h, where V represents volume, r is the radius of the circular base, and h is the height of the cylinder. This formula derives 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 physics. It helps determine capacity, material requirements, and spatial measurements for cylindrical objects.
Tips: Enter the radius and height in consistent units. Both values must be positive numbers. The calculator will compute the volume in cubic units of the input measurement.
Q1: What if my cylinder is not a right circular cylinder?
A: This formula only applies to right circular cylinders where the sides are perpendicular to the base. For oblique cylinders, different calculations are needed.
Q2: Can I use different units for radius and height?
A: No, both measurements must be in the same units to get a valid volume result in cubic units.
Q3: How accurate is the π value used in calculations?
A: The calculator uses PHP's built-in M_PI constant which provides π to about 14 decimal places, ensuring high precision.
Q4: What's the difference between volume and surface area?
A: Volume measures the space inside the cylinder, while surface area measures the total area of all surfaces (including bases and side).
Q5: Can this calculator handle very large or very small values?
A: Yes, within the limits of PHP's floating point arithmetic. Extremely large values may show scientific notation.