1. What is a Cylinder Volume Calculator?

Definition: This calculator computes the volume of a cylinder based on its radius and height.

Purpose: It helps students, engineers, and professionals determine the capacity or space occupied by cylindrical objects.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume (cubic units)
• \( r \) — Radius of the base (units)
• \( h \) — Height of the cylinder (units)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula squares the radius, multiplies by pi (π), and then multiplies by the height to determine the volume.

3. Importance of Cylinder Volume Calculation

Details: Calculating cylinder volume is essential in engineering, manufacturing, construction, and various scientific applications where cylindrical containers or structures are used.

4. Using the Calculator

Tips: Enter the radius and height in any consistent units (both in meters, both in inches, etc.). The result will be in cubic units of the same measurement.

5. Frequently Asked Questions (FAQ)

Q1: What if my cylinder is lying horizontally?
A: The formula remains the same as long as you measure the height perpendicular to the circular base.

Q2: Does this work for tubes or pipes?
A: For hollow cylinders, calculate the outer and inner volumes separately and subtract them.

Q3: What's the most common mistake when using this formula?
A: Forgetting to square the radius (using r instead of r²) or using diameter instead of radius.

Q4: How precise is the π value used?
A: PHP's pi() function uses about 14 decimal places (3.1415926535898), which is precise enough for most practical applications.

Q5: Can I use different units for radius and height?
A: No, both must be in the same units to get a meaningful volume result.