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Right Circular Cylinder
A right circular cylinder is a threedimensional solid figure. It is a type of cylinder that has a closed circular surface with two parallel bases on both ends. It is also commonly known as the right cylinder. The right cylinder has two major properties, i.e., surface area and volume. In this lesson, we will discuss the properties, surface area, and volume of the right circular cylinder.
1.  What is Right Circular Cylinder? 
2.  Properties of Right Circular Cylinder 
3.  Surface Area of Right Circular Cylinder 
4.  Volume of Right Circular Cylinder 
5.  FAQs on Right Circular Cylinder 
What is Right Circular Cylinder?
A right circular cylinder is a threedimensional solid shape that consists of two parallel bases linked by a closed circular surface where each base is like a circular disk in shape. The line that passes through the center or joins the centers of two circular bases is known as the axis of the right cylinder. The distance between the two bases of the cylinder is referred to as perpendicular distance which is represented as height, “h”. The distance from the center to the outer boundary for either of the two bases is known as the radius of the right circular cylinder as is represented by “r”. Thus, a right circular cylinder is formed by a combination of two circles and a rectangle. Look at the given image showing the formation of the right circular cylinder.
Properties of Right Circular Cylinder
As every, the twodimensional shape has its own properties, thus, the properties of the right circular cylinder are:
 It has two curved edges, one curved surface, and two flat faces.
 Cylindrical bases always are congruent to each other.
 The size of the cylinder depends on the dimension of the radius of the base and the height of the cylinder.
 The axis forms a right angle with the bases, exactly over each other.
 It does not have any vertex or a specific corner.
 The base and the top of the cylinder always are identical to each other.
Surface Area of Right Circular Cylinder
The surface area of a right circular cylinder is defined as the area covered by the surface of the right circular cylinder. There are two types of surface areas of a right circular cylinder:
 Curved surface area of a right circular cylinder: It is also referred to as a lateral surface area of the right circular cylinder. It is the area that is covered by the curved surface of the cylinder, that is, the space between the parallel circular bases of the right circular cylinder.
 Total surface area of a right circular cylinder: It is defined as the area that is occupied by the entire cylinder. This area of the cylinder consists of two circles and a curved surface. Thus, while finding the total surface area of the right circular cylinder we add the areas of two circles and the curved surface in the end.
The unit for both types of surface areas of the right circular cylinder is given in square units as (m^{2}, cm^{2}, in^{2}, or ft^{2}).
Surface Area of Right Circular Cylinder Formula
Let us consider a right circular cylinder having height "h" and radius "r". The formulas of the surface area of right circular cylinders are:
 Curved Surface Area (CSA) = 2πrh square units
 Total Surface Area (TSA)= Curved Surface Area + 2(Area of a circle) (as Curved Surface Area(CSA) = Circumference × Height = 2πr × h)
⇒ Total Surface Area (TSA) = 2πrh + 2πr^{2} = 2πr(h+r) square units.
Volume of Right Circular Cylinder
The volume of a right circular cylinder is defined as the amount of space occupied by the right circular cylinder. The unit for the volume of the right circular cylinder is given in terms of cubic units as (m^{3}, cm^{3}, in^{3}, or ft^{3}).
Volume of Right Circular Cylinder Formula
⇒ Volume of a right circular cylinder = πr^{2} × h cubic units
Topics Related to Right Circular Cylinder
Solved Examples on Right Circular Cylinder

Example 1. What is the height of the right circular cylinder that has a radius of 6 inches and a volume of 231 cubic inches? (Use π = 22/7)
Solution: Given that radius of cylinder = 6 inches and volume = 231 cubic inches
As we know, the volume of a cylinder V = πr^{2} × h
231 = 22/7 × (6)^{2} × h
⇒ (231 × 7)/(22 × 36) = h
⇒ h = 1617/792 = 2.041 inches.Therefore, the height of the cylinder is 2.041 inches.

Example 2. What is the radius of the right circular cylinder if the total surface area of the right circular cylinder is 60π square units and height is 7 units?
Solution: Given the TSA of right circular cylinder = 60π square units, h = 7 units and let the radius of the right circular cylinder is "r"
As we know, the TSA of a right circular cylinder, TSA = 2πr(h+r)
60π = 2π × r × (7 + r)
⇒ r × (7 + r) = 30
⇒ r^{2} + 7r  30 = 0 [On solving the quadratic equations we get, (r3)(r+10)]
⇒ r = 3 unitsTherefore, the radius of the right circular cylinder is 3 units.

Example 3. What is the curved surface area of the right circular cylinder having a radius of 10 units and a height of 21 units?
Solution: Given that r = 10 units, h = 21 units and let the curved surface of the right circular cylinder is CSA.
As we know, the CSA of a right circular cylinder, CSA = 2πrh
CSA = 2 × (22/7) × 10 × 21
⇒ CSA = 2 × 22 × 10 × 3
⇒ CSA = 1320 square units.
Therefore the curved surface area of the right circular cylinder is 1320 square units.
FAQs on Right Circular Cylinder
What is a Right Circular Cylinder Shape?
A right circular cylinder is a threedimensional solid figure that has two circular bases and is connected with two parallel lines. The two parallel lines of the right circular cylinder form a curved surface. It is bounded by two circles at the top and the bottom respectively.
What are the RealLife Examples of Right Circular Cylinder?
The right circular cylinder can be seen in real life. For example, toilet paper rolls, cans, pipes, torches.
What are the Properties of Right Circular Cylinder?
The properties of a right circular cylinder are:
 It possesses two curved edges, one curved surface, and two flat faces.
 The bases always are congruent to each other.
 The size of the cylinder depends on the radius of the base and the height of the cylinder.
 The axis forms a right angle with the bases and exactly over each other.
 It does not have any vertex or a corner.
 Base and the top of the cylinder always are identical to each other.
How Many Edges Does a Right Circular Cylinder Have?
A right circular cylinder has 2 edges. An edge is where 2 faces meet and it straight or can be curved. A right circular cylinder is formed by combining 2 circles and 1 rectangle. The two straight edges of the rectangle are folded to form the curved edges of the cylinder.
What is a Total Surface Area of Right Circular Cylinder?
The total surface area of the right circular cylinder is defined as the area that is occupied by the entire right cylinder. This area is calculated by adding areas of two circles and a curved surface. The total surface area of a right circular cylinder is calculated using the formula 2πr(h+r) square units.
What is a Curved Surface Area of Right Circular Cylinder?
The curved surface area of the right circular cylinder is defined as the area that is occupied by the curved surface of the right cylinder. The curved surface area of a right circular cylinder is calculated using the formula 2πrh square units.
What is the Volume of Right Circular Cylinder?
The volume of a right circular cylinder is the amount of space a right circular cylinder can hold. The volume of a right circular cylinder is calculated using the formula πr^{2}h cubic units, where 'r' is the radius and 'h' is the height of the cylinder.
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