Cylinder Mass calculator

To calculate the mass of a cylinder, multiply the volume of the cylinder by its density. The volume is determined using the cylinder’s radius and length.

The Cylinder Mass Calculator is a valuable tool for determining the mass of solid or hollow cylinders, commonly used in engineering, construction, and manufacturing. It aids in calculating precise mass values based on the cylinder’s dimensions and material density. Whether you’re working with steel pipes, gas cylinders, or liquid containers, this calculator simplifies complex computations, ensuring accuracy and efficiency.

Formula:

Contents

1 Formula:
2 Variables:
3 Solved Calculations:
4 What is the Cylinder Mass Calculator?

$CM = \pi \cdot r^2 \cdot L \cdot D$

Variables:

Variable	Description
$CM$	Cylinder mass (in kg or g)
$r$	Radius of the cylinder (in meters)
$L$	Length of the cylinder (in meters)
$D$	Density of the material (kg/m³ or g/cm³)

Solved Calculations:

Example 1: Solid Steel Cylinder

Step	Value	Explanation
Radius ( $r$ )	$0.1 \, \text{m}$	Radius of the steel cylinder
Length ( $L$ )	$2.0 \, \text{m}$	Length of the cylinder
Density ( $D$ )	$7850 \, \text{kg/m³}$	Density of steel
Volume ( $V$ )	$\pi \cdot 0.1^2 \cdot 2.0 = 0.0628 \, \text{m³}$	Calculate volume
Mass ( $CM$ )	$0.0628 \cdot 7850 = 492.98 \, \text{kg}$	Multiply volume by density

Example 2: Hollow Aluminum Cylinder

Step	Value	Explanation
Outer Radius ( $r_o$ )	$0.2 \, \text{m}$	Outer radius
Inner Radius ( $r_i$ )	$0.15 \, \text{m}$	Inner radius
Length ( $L$ )	$1.5 \, \text{m}$	Length of the cylinder
Density ( $D$ )	$2700 \, \text{kg/m³}$	Density of aluminum
Volume ( $V$ )	$\pi \cdot (0.2^2 – 0.15^2) \cdot 1.5 = 0.082 \, \text{m³}$	Calculate hollow volume
Mass ( $CM$ )	$0.082 \cdot 2700 = 221.4 \, \text{kg}$	Multiply volume by density

What is the Cylinder Mass Calculator?

The Cylinder Mass Calculator is a practical tool that simplifies the process of calculating the mass of a cylinder, whether solid or hollow, based on its volume and material density.

It is widely used in fields such as engineering, manufacturing, and physics to estimate the weight of cylinders made from various materials, like steel, aluminum, or plastic.

By entering the dimensions of the cylinder (radius and height) and the density of the material, this calculator instantly provides an accurate mass value.

It is particularly useful for calculating the mass of gas cylinders, hollow cylinders, or any cylindrical structure in both metric and imperial units.

This tool is essential for tasks like determining shipping weights, designing components, and performing material cost analysis. It also aids in understanding concepts like mass moment of inertia for rotational dynamics.

Final Words:

Essentially, the Cylinder Mass Calculator is a valuable resource for quickly and accurately determining the mass of cylindrical objects across various applications. Its precision and ease of use make it indispensable for professionals and hobbyists alike.