1. What is the Volume of a Cylinder?

The volume of a cylinder is the amount of space it occupies in three-dimensional space. It's calculated using the radius of the circular base and the height of the cylinder.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

Where:

• \( V \) — Volume (m³)
• \( r \) — Radius of the base (meters)
• \( h \) — Height of the cylinder (meters)
• \( \pi \) — Mathematical constant (~3.14159)

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

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in engineering, construction, manufacturing, and fluid dynamics for determining capacity, material requirements, and storage needs.

4. Using the Calculator

Tips: Enter the radius and height in meters. Both values must be positive numbers. The calculator will compute the volume in cubic meters.

5. Frequently Asked Questions (FAQ)

Q1: What if my measurements are in centimeters?
A: Convert to meters first (1 cm = 0.01 m) or modify the formula to use cm³ (V = πr²h × 10^6 for cm³).

Q2: Does this work for tubes (hollow cylinders)?
A: No, for tubes you need to subtract the inner cylinder's volume from the outer cylinder's volume.

Q3: What's the precision of the calculation?
A: The calculator shows 4 decimal places, but uses higher precision for the actual calculation.

Q4: Can I calculate radius if I know volume and height?
A: Yes, rearrange the formula: \( r = \sqrt{V/(\pi h)} \).

Q5: How does this relate to liquid capacity?
A: 1 m³ = 1000 liters, so you can convert the result to liters by multiplying by 1000.