1. What is a Cylinder Volume Calculator?

Definition: This calculator computes the volume of a cylinder using metric measurements for radius and height.

Purpose: It helps students, engineers, and professionals quickly determine the capacity or volume of cylindrical objects.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume (cubic units)
• \( r \) — Radius (cm, m, or any metric unit)
• \( h \) — Height (same unit as radius)
• \( \pi \) — Mathematical constant (~3.14159)

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

3. Importance of Cylinder Volume Calculation

Details: Accurate volume calculations are essential for material estimation, container design, fluid capacity, and engineering applications.

4. Using the Calculator

Tips: Enter the radius and height in the same metric units (both cm or both m). The result will be in corresponding cubic units (cm³ or m³).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use any metric units (cm, m, etc.), but ensure both radius and height use the same unit.

Q2: Can I use diameter instead of radius?
A: Yes, but divide diameter by 2 first. Radius = Diameter/2.

Q3: How precise is the calculation?
A: It uses PHP's M_PI constant (about 15 decimal places) for maximum precision.

Q4: What if my cylinder isn't perfect?
A: This calculates ideal cylinder volume. For irregular shapes, use different methods.

Q5: Can I calculate liquid capacity with this?
A: Yes, but remember 1 cm³ = 1 mL, and 1 m³ = 1000 liters for conversion.