A right circular cylinder is a type of three dimensional solid figure that contains two parallel bases with two circular surfaces. We can measure the right circular cylinder in two ways one is surface area and the other is volume. The students who are willing to know deeply about the right circular cylinder can refer to this page can prepare well for the exams. We provide the information regarding the right circular cylinder that includes definition, properties, formulas, and examples.
Right Circular Cylinder – Definition
A cylinder whose bases are roundabout fit and correspond to one another is known as the right round cylinder. It is a three-dimensional shape. The axis of the cylinder joins the focal point of the two bases of the cylinder.
The distance between the two bases of the cylinder is known as the diameter and the perpendicular distance is referred to as height. The distance from the center to the outer boundary of the circular base is known as the radius of the cylinder. By seeing the below figure you can understand what is the radius, diameter, and height of the right circular cylinder.
Parts of Right Circular Cylinder
There are three parts of the right circular cylinder. They are
1. Top circular base
2. Curved or lateral surface
3. Bottom circular face
Properties of Right Circular Cylinder
1. Generally a cylinder has two curved edges, one curved surface, and two circular bases.
2. The two circular flat surfaces of the cylinder are congruent to each other.
3. The top and bottom views of the right circular cylinders are circular in shape.
4. The top surface and base of the circle are the same.
5. A cylinder does not have a vertex or specific corner.
6. The size of the cylinder depends on the measure of the radius and height of the cylinder.
Right Circular Cylinder Formulas
- Total surface area of a right circular cylinder = 2πr(h+r)
- Volume of a cylinder V = πr2 × h
- Curved surface area of a right circular cylinder = 2πrh
where,
r = radius of the cylinder
h = height of the cylinder
Do Refer:
- Hollow Cylinder
- Problems on Right Circular Cylinder
Surface Area of Right Circular Cylinder
The surface area of the right circular cylinder is nothing but the area covered by the surface of the cylinder. We can measure the area of the cylinder in two ways they are curved surface area and total surface area of the right circular cylinder.
Curved Surface Area of Right Circular Cylinder | Lateral Surface Area of Right Circular Cylinder
The curved surface area is also known as the lateral surface area of the right circular cylinder. The CSA of the right circular cylinder is defined as the area covered by the cylinder between the two parallel circular bases.
Total Surface Area of Right Circular Cylinder | TSA of Right Circular Cylinder
The total surface area or TSA of the right circular cylinder is defined as the entire space occupied by the given 3D figure. We can find the TSA of the right circular cylinder by adding the area of the two circles and the curved surface area of the cylinder.
Volume of Right Circular Cylinder
Volume of a right circular cylinder is determined as the amount of space occupied by the given figure. For any right circular cylinder, h is the height and r is the radius by using these values we can find the volume.
Right Circular Cylinder Examples
Example 1.
What is the height of the right circular cylinder that has a radius of 4 inches and a volume of 200 cubic inches?
Solution:
Given that,
radius of cylinder = 4 inches
volume = 200 cubic inches
we know that
the volume of a cylinder V = πr2 × h
200 = 22/7 × (4)2 × h
(200 × 7)/(22 × 8) = h
h = 1400/76 = 18.42 inches.
Therefore, the height of the cylinder is 18.42 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 that
The Total surface area of the right circular cylinder = 60π square units
Height = h = 7 units
let the radius of the right circular cylinder = r
we know that
The total surface area of a right circular cylinder = 2πr(h+r)
60π = 2π × r × (7 + r)
r × (7 + r) = 30
r2 + 7r – 30 = 0
(r-3)(r+10)
r = 3 units
Therefore, 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 20 units?
Solution:
Given that
radius = r = 10 units
Height =h = 20 units
The curved surface of the right circular cylinder is
We know that
The curved surface area of a right circular cylinder = 2πrh
Curved surface area = 2 × (22/7) × 15 × 20
Curved surface area = 1884 square units
Therefore the curved surface area of the right circular cylinder is 1884 square units.
Example 4.
The radius and height of a right cylinder are given as 2 m and 1.5 m respectively. Find the volume and total surface area of the right cylinder.
Solution:
Given that,
Radius = r = 2 m
Height = h = 1.5 m
We know that
Volume of a right cylinder = πr2 h cubic units
Therefore,
Volume = 3.14 × 4 × 1.5
= 3.14 × 14 × 1.5
= 18.84 cubic m.
The volume of the given right cylinder is 18.84 cubic m.
Now we know that,
The total surface area of the right cylinder = Area of circular base + Curved Surface Area
Total surface area = 2 π r (h + r) square units
By putting the values of radius and height, we get;
Total surface area = 2 x π x 2 (1.5 + 2)
Total surface area = 2 x 3.14 x 2 x 3.5
Total surface area = 43.96 sq.m
Hence, the total surface area of the given right cylinder is 43.96 m²
Example 5.
Find the volume of a right cylinder, if the radius and height of the cylinder are 10 cm and 20 cm respectively.
Solution:
We know that
The volume of a right cylinder = πr2 h cubic units
Given that
Radius = r = 10 cm
Height = h = 20 cm
Therefore,Volume = 3.14 × (10)² × 20
= 3.14 × 10 × 10 × 20
= 6280
Hence, the volume of the given right cylinder is 6280 cm³
FAQs on Right Circular Cylinder
1. How many faces a right circular cylinder has?
A right circular cylinder has three faces. Two circular faces and one lateral face.
2. How many edges do a right circular cylinder has?
A right circular cylinder has two edges.
3. What is the difference between a cylinder and a right circular cylinder?
There is a cylinder and a right circular cylinder. The bases of the Cylinder are circles. A right circular cylinder is a solid shape formed by the segment joining the centers of the circles of a cylinder.