1. What is a Volume of a Cylinder Calculator?

Definition: This calculator computes the volume of a cylindrical shape using 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 (same units)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The formula calculates the area of the circular base (πr²) and multiplies it by the height to get the volume.

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for material estimation, container capacity planning, and engineering designs involving cylindrical components.

4. Using the Calculator

Tips: Enter the radius and height in the same units. Both values must be positive numbers. The result will be in cubic units.

5. Frequently Asked Questions (FAQ)

Q1: What if my cylinder is in inches but I need the volume in cubic feet?
A: Either convert measurements to feet before calculation, or convert the result (1 cubic foot = 1728 cubic inches).

Q2: Does this work for tubes (hollow cylinders)?
A: No, this calculates solid volume. For tubes, calculate outer and inner volumes separately and subtract.

Q3: What's the most common real-world application?
A: Common uses include calculating liquid capacity in tanks, concrete volume in columns, and storage capacity in containers.

Q4: How accurate is the π value used?
A: PHP's pi() function returns a value accurate to about 14 decimal places, sufficient for most practical applications.

Q5: Can I use diameter instead of radius?
A: Yes, but remember radius = diameter/2. You would need to adjust the formula accordingly.