Home Back

Density of a Cylinder Calculator with Diameter

Density Equation:

\[ \rho = \frac{m}{\pi \left(\frac{d}{2}\right)^2 h} \]

kg
m
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Density of a Cylinder?

The density of a cylinder is a measure of its mass per unit volume. It's an important physical property that characterizes how much matter is packed into the cylindrical object.

2. How Does the Calculator Work?

The calculator uses the density equation for a cylinder:

\[ \rho = \frac{m}{\pi \left(\frac{d}{2}\right)^2 h} \]

Where:

Explanation: The equation calculates density by dividing the mass by the volume of the cylinder (πr²h), where radius is derived from diameter (r = d/2).

3. Importance of Density Calculation

Details: Density calculations are essential in material science, engineering, and physics for identifying materials, quality control, and buoyancy calculations.

4. Using the Calculator

Tips: Enter mass in kilograms, diameter and height in meters. All values must be positive numbers. For best accuracy, use precise measurements.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses standard SI units: kilograms for mass and meters for dimensions. Convert your measurements to these units before input.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your input measurements.

Q3: Can I use this for hollow cylinders?
A: No, this calculates density for solid cylinders only. For hollow cylinders, you'd need to account for the empty space.

Q4: What's the difference between diameter and radius?
A: Diameter is the full width across the cylinder, while radius is half the diameter. The calculator automatically converts diameter to radius.

Q5: How does temperature affect density?
A: Density typically decreases with increasing temperature due to thermal expansion, but this calculator assumes measurements at a constant temperature.

Density of a Cylinder Calculator with Diameter© - All Rights Reserved 2025