Cylinder Volume Calculator

Cylinder Volume Formula:

\[ V = \pi \times r^2 \times h \]

Volume:

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1. What is Cylinder Volume?

The volume of a cylinder is the amount of space it occupies, calculated using its radius and height. It's commonly needed in engineering, physics, and everyday measurements.

2. How Does the Calculator Work?

The calculator uses the cylinder volume formula:

\[ V = \pi \times r^2 \times h \]

Where:

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

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

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential for determining capacity of containers, pipes, and other cylindrical objects in engineering, manufacturing, and construction.

4. Using the Calculator

Tips: Enter radius and height in centimeters. Both values must be positive numbers. The calculator will compute the volume in cubic centimeters (cm³).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses centimeters, but you can use any unit as long as both radius and height are in the same unit.

Q2: How precise is the calculation?
A: The calculation is mathematically exact, using π to 15 decimal places. Results are rounded to 2 decimal places.

Q3: Can I calculate diameter instead of radius?
A: Yes, but remember to divide diameter by 2 to get radius before using the formula.

Q4: Does this work for hollow cylinders?
A: For hollow cylinders (pipes), calculate both outer and inner volumes and subtract to get the material volume.

Q5: How to convert to liters?
A: 1000 cm³ = 1 liter. Divide cm³ result by 1000 to get liters.