What Is The Density Of A Cylinder And Its Defination?

Density Of A Cylinder

The density of a cylinder is an effortless task, but only when you know its formula. Because a cylinder is a solid geometric figure with straight parallel sides and a circular or oval cross-section. Unfortunately, many people find it difficult to calculate the density of the object rather than the area and perimeter of any shape and size of the container. Why? It is because the formula of the density is a little bit complicated to remember and also it needs more calculations. But, after reading this article you will find it easy to calculate the density of a cylinder.

What Is Density Of A Cylinder? 

The density of a cylinder is the ratio of mass to volume or simply, density is how much mass is in a given volume. Cylinder density is generally regardless of how big or small a substance is and is neither dependent on its shape. But the cylinder density is directly proportional to the mass of a cylinder and inversely proportional to the volume of a cylinder. 

In the density of a cylinder with a diameter, the diameter of a circle made by a cylinder is considered. And you all know the diameter of the circle is equivalent to twice the radius of a circle. 

There are many types of cylinders, including hollow cylinders and metal cylinders. So, a hollow cylinder means an empty cylinder with two radii inner and outer. And the density of hollow cylinder is V = π (R2 -r2)h cubic units. 

Similarly, the density of a metal cylinder is the same as a universal cylinder, the ratio of mass and volume.  

Well, you have a basic idea about cylinder density. Let’s understand the definition of cylinder density and also know how to calculate density of a cylinder.

Definition Of Density Of A Cylinder 

The definition of density of a cylinder is the amount of mass of a substance per unit volume. In other words, the total mass of a cylinder is divided by the total volume of a cylinder. The density of cylinder unit is kg/m3. You can also convert this word definition into symbolic notation as, 

The density of cylinder = m r2. h. π kg/m3

Where, m is the mass of the cylinder 

            h is the height of the cylinder 

            r is the radius of the cylinder  

⍴ =   m r2. h. π kg/m3 

Here, ⍴ is used to denote the cylinder density and is called ‘Rho’. keep in mind, ⍴ is not ‘p’. 

Many students know the formula of the cylinder density but they get confused when it comes to executing the formula. It is because they don’t know how to measure the parameters of a cylinder, and what the height, mass, or volume of a cylinder is. So, to overcome this, let’s learn to calculate cylinder density.

How To Calculate Density Of A Cylinder? 

To calculate the cylinder density, you must have clarity regarding some basic terms such as volume, mass, height, weight, etc. so, go through the steps given below. 

  1. First of all measure the mass m of the cylinder if it is not already known. You can physically measure it.
  2. Then, determine the volume of cylinder V from its radius r and height h using the formula V =  πr²h. Here, you can physically measure the height and radius of the cylinder by scale. 
  3. Now, you have both the quantities mass and volume, simply divide the mass of the cylinder by its volume to get the cylinder density. i.e. ρ = m/V. 

Let’s understand with the help of an example. 

What will be the density of cylinder if its mass is 176 kg, the radius is 2m, and height is 7m? 

First of all, find out the volume of the cylinder V = πr²h 

                                                                        V = (22/7)* 2 * 2 * 7 

                                                                        V = 22 * 4 = 88 m3

Now, you have both the mass and volume of the cylinder so you can find the density.

Density of cylinder is = mass/volume 

                                     =  176 / 88 

                                 ρ  = 2 kg/m3  

Similarly, the density of cylinder g/cm3 is = 2 x 1000/100 = 20 g/cm3

Let’s find out the densities by visiting Denseme

FAQ

What Is Cylinder In Math Definition?

Definition. In mathematics, a cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis.

What Is The Definition Of Density In Physics?

density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centimetre.

What Is Density Explain It With Example?

Density is the measure of how much “stuff” is in a given amount of space. For example, a block of the heavier element lead (Pb) will be denser than the softer, lighter element gold (Au). A block of Styrofoam is less dense than a brick. It is defined as mass per unit volume.

What Is Cylinder And Its Properties?

A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface. The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.

What Is Density And Explain?

Density Definition: Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume. Density Symbol: D or ρ Density Formula: ρ = m/V, where ρ is the density, m is the mass of the object and V is the volume of the object.

Conclusion 

Here you are after reading all about the cylinder density and now, no one can stop you from calculating it. When you learn something in-depth then you will never forget it. Similarly, you won’t forget the cylinder density and its calculation. The formula of the cylinder density is the ratio of mass and volume that always remains the same whatever the type of cylinder, it is the universal formula for the cylinder density. But, when you see it in physics, then the charge density of a cylinder doesn’t follow this formula, because charge density is different from the mass-volume density of the cylinder. This was all about the density of a cylinder.

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