Beyond Basics: Calculating Cone Surface Area with Precision

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?