Sunday, October 1, 2023
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### EteacherG

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# Definition of Cylinder | Volume of Cylinder, Surface Area of a Cylinder

## What is Cylinder

Cylinder we always try to do best for our learner. Today we read about Cylinder. This chapter content Cylinder definition, Features of Cylinder and Formula of Cylinder. In previous Dose (lesson) we had read about┬аRectangle. We read today in Tutor Dose about definition of Cylinder and Cylinder Formula. Cylinder is a 3D geometric shape, which has curve sides and two circle. In this chapter we learn how to┬аfind the volume of a cylinder. Find the volume of a cylinder is very easy method.┬аThis is also very important chapter for point of view of examination. So read this lesson carefully.

## Cylinder

Cylinder is a 3D shape like a tube. A surface or solid bounded by two parallel planes and generated by a straight line moving parallel to the given planes and tracing a curve bounded by the planes and lying in a plane perpendicular or oblique to the given planes.

### Features/Properties of a Cylinder

• Cylinder is a solid 3D shape. It has three parts one curved surface and two circles┬а(one base and one upper surface).

┬а
• Both Circle are parallel of each other.┬а
• Between the both circle length called height of Cylinder.
• The line that connects the centers of both the bases of a cylinder is called the axis of that circle.

## Important Formula of Cylinder

### Total Surface Area of Cylinder

Circle area = ╧Аr2
we have two circle so area is = 2 ├Ч ╧Аr2
Area of curved surface = circumference of circle + height of cylinder
= 2╧Аr + h
So total surface of Cylinder is =┬аtwo circle so area +┬аArea of curved surface
= 2╧Аr2 + 2╧Аrh
= 2╧Аr (r + h)
Total surface of Cylinder is┬а= 2╧Аr (r + h)

### Curved Surface Area of Cylinder

Curved surface area of cylinder is = circumference of circle + height of cylinder
= 2╧Аr + h
=┬а2╧Аrh
Curved surface area of cylinder is =┬а2╧Аrh

### Volume of Cylinder

Area of Circle =┬а╧Аr2
Height of cylinder = h
Volume of cylinder =┬а
╧Аr2 + h
Total volume of cylinder =┬а╧Аr2h
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