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Cylinder Volume Formula:
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The cylinder volume formula calculates the amount of space inside a right circular cylinder. It's one of the fundamental formulas in geometry and has practical applications in engineering, architecture, and various scientific fields.
The calculator uses the cylinder volume formula:
Where:
Explanation: The formula multiplies the area of the circular base (πr²) by the height (h) to determine the total volume.
Details: Calculating cylinder volume is essential in many practical applications including determining container capacities, fluid volumes in pipes, material requirements in construction, and in various manufacturing processes.
Tips: Enter the radius and height in the same units. Both values must be positive numbers. The result will be in cubic units of the input measurement.
Q1: What if my cylinder is not a right circular cylinder?
A: This formula only works for 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 correct volume calculation.
Q3: How accurate is the value of π used in the calculation?
A: The calculator uses PHP's built-in M_PI constant which is accurate to about 14 decimal places, sufficient for most practical applications.
Q4: What's the difference between volume and capacity?
A: Volume refers to the total space occupied, while capacity typically refers to how much a container can hold, though they use the same units of measurement.
Q5: Can this formula be used for hollow cylinders?
A: For hollow cylinders (tubes), you need to calculate the volume of the outer cylinder and subtract the volume of the inner cylinder.