Calculating the Surface Area of Cones: Formulas and Methods

CONE DETAIL

 

Ist video : Introduction

 

After going through this course, the students will learn:

 

1. What is the meaning of a Cone?
2. How to calculate the surface area of a cone by making use of the height, radius, and slant height of the cone?
3. What is the relationship between height, radius and
4. slant height?
5. How to calculate the cost of the canvas required to make the tent?
6. How to calculate the cost of white-washing the curved surface of a cone?

 

 

2^nd video: Cone : Meaning and Types

 

1. What is the meaning of cone? Give two real life examples of shape of a cone.
2. What are the two common types of cones in mathematics?
3. What is meant by a right circular cone?
4. What is the meaning of an oblique cone?
5. In which type of cone, the apex (pointy part) is directly above the centre of the base : Right circular cone or Oblique cone?
6. What is meant by the slant height of a right circular cone?
7. What is the meaning of height of a right circular cone?
8. List the formula which shows the relationship between height, radius, and slant height in a right circular cone.

 

3^rd video: Curved Surface Area and Total Surface Area of a Cone

 

1. What is meant by curved surface area of a cone?
2. By which other name curved surface area of cone is known?
3. What is the formula for calculation of curved surface area of a cone?
4. What is meant by total surface area of a cone?
5. What is the formula for calculation of total surface area of a cone?
6. How to derive total surface area of a cone?

 

4th video: Calculating Curved Surface Area

How to calculate the curved surface area of cone when diameter of the base and slant height of the cone are given?

 

5^th video: Calculating Total Surface Area

How to calculate the total surface area of cone when diameter of the base and slant height of the cone are given?

 

6^th video: Calculating radius and Total surface area

 

How to calculate the radius of base and total surface area of cone when curved surface area and slant height are given?

 

7^th video: Calculating slant height and cost of canvas of tent

How to calculate the slant height of tent and cost of canvas required to make the conical tent when height and radius of base of tent are given along with the cost of canvas per square meter?

 

8^th video: Calculating the length of tarpaulin required to make conical tent

How to calculate the length of tarpaulin required to make conical tent when height and base radius are given alongwith the extra length of material required for stitching margins and wastage in cutting?

 

9^th video: Calculating cost of white washing curved surface of conical tomb

How to calculate the cost of white-washing the curved surface of a conical tomb when slant height, base diameter are given along with the cost of white washing per hundred square meter is given?

 

10^th video: Calculating area of sheet required to make jocker’s cap

How to calculate the area of sheet required to make ten jocker’s caps (which are in the form of a right circular cone) when the base radius and height are given?

 

11^th video: Calculating the cost of painting hollow cones

How to calculate the cost of painting hollow cones when the base diameter and height of one hollow cone are given along with the cost of painting per square meter?

 

Description:

 

1. What is the meaning of cone? Give two real life examples of shape of a cone.
2. What are the two common types of cones in mathematics?
3. What is meant by a right circular cone?
4. What is the meaning of an oblique cone?
5. In which type of cone, the apex (pointy part) is directly above the centre of the base : Right circular cone or Oblique cone?
6. What is meant by the slant height of a right circular cone?
7. What is the meaning of height of a right circular cone?
8. List the formula which shows the relationship between height, radius, and slant height in a right circular cone.
9. What is meant by curved surface area of a cone?
10. By which other name curved surface area of cone is known?
11. What is the formula for calculation of curved surface area of a cone?
12. What is meant by total surface area of a cone?
13. What is the formula for calculation of total surface area of a cone?
14. How to derive total surface area of a cone?
15. How to calculate the curved surface area of cone when diameter of the base and slant height of the cone are given?
16. How to calculate the total surface area of cone when diameter of the base and slant height of the cone are given?
17. How to calculate the radius of base and total surface area of cone when curved surface area and slant height are given?
18. How to calculate the slant height of tent and cost of canvas required to make the conical tent when height and radius of base of tent are given along with the cost of canvas per square meter?
19. How to calculate the length of tarpaulin required to make conical tent when height and base radius are given alongwith the extra length of material required for stitching margins and wastage in cutting?
20. How to calculate the cost of white-washing the curved surface of a conical tomb when slant height, base diameter are given along with the cost of white washing per hundred square meter is given?
21. How to calculate the area of sheet required to make ten jocker’s caps (which are in the form of a right circular cone) when the base radius and height are given?
22. How to calculate the cost of painting hollow cones when the base diameter and height of one hollow cone are given along with the cost of painting per square meter?