SSC Exam » SSC Study Materials » Mathematics » Cylinder Curved-Surface Area

Cylinder Curved-Surface Area

The curved surface area stands for the entire area of the curved surface of any cylinder, which is measured by leaving the top and the base surface of the cylinder. The cylinder is one of the major geometric surfaces which has various types of real-world applications.

The cylinder is the geometric shape, which usually stands for the three dimensional solid along with two parallel surfaces, which is joined with a curved surface at a certain and accurate distance. In that case, the bases of the cylinders are usually round or spherical and the bases are usually joined with a single line segment. That single strand segment line is called the axis of the cylinder. In that case, this assignment will discuss various factors regarding the curved surface area of the cylinder. In that case, the curved surface area can be defined as the whole area of the curved surface of the cylinder just living the surface of the bases. There are various factors regarding the significance and properties of the cylinder which will be discussed in this assignment.   

Properties and Features of Cylinder

There are some certain features and properties regarding each of the geometric shapes and the properties and characteristics can help people to recognize the shapes and the geometric characters. Therefore, there are some features and characters present in the case of Cylinder which are the major identifying characters of the cylinder. Moreover, there are some formulas of the cylinder regarding the different measurements of the cylinder and the various segments of the cylinder. 

  • The first identifying character stands for the presence of two spherical bases of the three dimensional solid and the entire curved area joined along with the two bases of the shape.   
  • The two bases of the shape are similar and constant to each other and they must be parallel to each other. The area and radius of the two spherical bases must be the same as each other. 
  • The entire area and volume of the cylindrical solid are dependent on the surface radius of the bases and the height of the curved surface. 
  • Moreover, there is another notable point that can help to identify the features of cylindrical shape. The cylinder has no edges or vertices in the entire shape of the solid. The total surface is related to a spherical shape without any angle or edges in the shape.
  • The volume of the cylinder is defined as the sum of the curved surface area and the surface area of the two spherical bases. Thus, the volume of the cylinder can be measured through the entire measurement of the cylinder.    

These are the major and valuable concepts and features regarding the cylindrical solids and these features of the cylinder can help people to identify and accurately understand the features of the shape.  

Formula and Concept of Curved Surface Area in Cylinder

The curved surface of the cylinder is one of the major segments in the entire shape of the cylinder. In that case, it can be said that this part of the cylinder is one of the major and largest parts of the cylinder. In that case, it can be said that there are some factors of the curved surface of the cylinder which can help to measure the entire segment of the curved surface. In that case, the factors can stand for the radius of the spherical area and height of the entire curved segment or the height of the axis in the cylinder. From another aspect, there are some other factors of the entire cylindrical shape except the curved area of the cylinder. The other factors stand for the volume of the cylinder, the net area surface of the cylinder, the radius of the bases etc. Those factors have their different formulas regarding the segmental factors of the cylinder.

Volume= r2h

Surface area A= 2πr(r+h)

Lateral area AL=2πrh

Base area AB= r2

Height h=V/r2

Radius=(V/πh)

[r= Radius, V= Volume, h= height]

Real-life Application of Cylinder

There are various real-life applicable things that are related to cylindrical solids. In that case, there are some examples of the real-world applicable things which are the cylindrical shapes and those are used in general life. The examples can stand for pipes, beakers, candles, batteries, cold drink cans, water tanks etc. In that case, it can be said that the factors of measuring the various components and the curved area of the cylinder have various real-life activities and examples. In that case, it can be said that the curved surface measurement has real-life application regarding the painting of the cylinders. The measurement of the curved surface can help to find the amount of color or paint that would be needed to fully paint any water tank or gas tank.   

Factors of Total Surface Area and Curved Surface Area

The total or net surface is and the curved surface area of the cylinders is much similar to each other, however, there is a little bit of difference between the measurements of the surface areas. In that case, the total surface area of the cylinder is conducted as the area of the base and the height of the curved surface, while the area of the curved surface just needs the radius and the height of the curved surface. These are the major and primary differences between the total surface area and the curved surface area of the cylinder.

Conclusion 

As per all the above discussion, the various factors related to the curved surface area of the cylinder have been disclosed and described accurately. In that case, the various factors related to the measurement of the cylinder and the related formulas have been critically discussed here with vital significance.

faq

Frequently Asked Questions

Get answers to the most common queries related to the SSC Examination Preparation.

Does the cylinder stand for Polygon?

Ans : No, the cylinder cannot be defined as the polygon, as this has no edges or angles the entire segment is connec...Read full

What are the examples of cylinders?

Ans : Candles, Beakers, Water tank etc.

What is the formula of the curved surfaces in cylinders?

Ans : 2πrh