1. What is the Cylinder Volume Formula?

The cylinder volume formula calculates the space occupied by a right circular cylinder. It's fundamental in geometry and has practical applications in engineering, physics, and everyday life.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( V \) — Volume (cubic length units)
• \( \pi \) — Pi (approximately 3.14159)
• \( r \) — Radius of the base (length units)
• \( h \) — Height of the cylinder (length units)

Explanation: The formula multiplies the area of the circular base (πr²) by the height (h) to get the total volume.

3. Importance of Cylinder Calculations

Details: Cylinder volume calculations are essential in many fields including engineering (pipe capacity), manufacturing (container design), and science (fluid dynamics).

4. Using the Calculator

Tips: Enter the radius and height in the same length units. The result will be in cubic units of whatever length unit you used.

5. Frequently Asked Questions (FAQ)

Q1: What if my cylinder isn't a right circular cylinder?
A: This formula only works for right circular cylinders. For oblique cylinders, more complex calculations are needed.

Q2: Can I use different units for radius and height?
A: No, both measurements must be in the same units for accurate results.

Q3: How precise is the π value used?
A: The calculator uses PHP's built-in M_PI constant which is precise to about 14 decimal places.

Q4: What's the difference between height and length?
A: For a cylinder standing upright, height is the vertical dimension. For a horizontal cylinder, it's often called length instead.

Q5: Can this calculate surface area too?
A: This calculator only computes volume. Surface area requires a different formula (2πr² + 2πrh).