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Cylinder Volume Formula:
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The volume of a cylinder represents the amount of three-dimensional space it occupies. It's calculated using the mathematical formula that multiplies the area of the circular base by the height of the cylinder.
The calculator uses the cylinder volume formula:
Where:
Explanation: The formula first calculates the area of the circular base (π × r²), then multiplies it by the height to determine the total volume.
Details: Calculating cylinder volume is essential in various fields including engineering, manufacturing, construction, and fluid storage. It helps determine capacity of tanks, pipes, containers, and other cylindrical structures.
Tips: Enter the radius and height in meters. Both values must be positive numbers. The calculator will provide results in both cubic meters and liters (1 m³ = 1000 liters).
Q1: What if my measurements are in different units?
A: Convert all measurements to meters before entering them. For example, 50 cm = 0.5 m, 1000 mm = 1 m.
Q2: Can I calculate volume for a hollow cylinder?
A: For a hollow cylinder (pipe), you need to calculate the volume of both outer and inner cylinders and subtract them: V = π × h × (R² - r²).
Q3: How accurate is the π value used?
A: The calculator uses PHP's built-in M_PI constant which provides π with approximately 14 decimal places of precision.
Q4: What's the difference between volume and capacity?
A: Volume is the total space occupied, while capacity typically refers to the amount of material a container can hold, though they're often used interchangeably.
Q5: Can this calculator be used for liquid measurements?
A: Yes, the volume result in liters directly corresponds to the liquid capacity of the cylinder when completely filled.