Calculating the Volume of Cones : Formulas and Methods

CONE volume DETAIL

 

Ist video : Introduction

 

After going though this course, the students will understand what is the meaning of cone.

 

They will understand the difference between Right Circular cone and Oblique cone.

 

They will know what is meant by height and slant height of a right circular cone.

 

The students will understand – What is the formula to calculate the slant height of a right circular cone, and

 

The students will understand with the help of examples as to how they can calculate the volume 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: Volume of a Right Circular Cone

What is the formula for calculation of volume of a cone?

 

4th video: Calculating Volume of Cone

How to calculate the volume of cone when height and slant height of the cone are given?

 

5^th video: Calculating the volume of tent

How to calculate the volume of tent when the base radius of the tent is given along with the canvas area?

 

6^th video: Calculating the volume of right circular cone

How to calculate the volume of right circular cone when radius and height are given?

 

 

7^th video: Calculating the volume of right circular cone

How to calculate the volume of right circular cone when radius and height are given?

 

 

8^th video: Calculating the capacity of conical vessel

 

How to calculate the capacity in liters of a conical vessel when the radius and slant height are given in centimeters?

 

9^th video: Calculating the capacity of conical vessel

How to calculate the capacity in liters of a conical vessel when the height and slant height are given in centimeters?

 

 

10^th video: Calculating the radius of cone

How to calculate the radius of base of cone when the height and volume of cone are given?

 

11^th video: Calculating the capacity of conical pit

How to calculate the capacity of conical pit in kiloliters when the diameter and depth are given?

 

12^th video: Calculating volume of the solid

How to calculate the volume of the solid when a right triangle having three sides is revolved about one side?

 

13^th video: Calculating area of canvas

How to find the area of canvas required to cover a heap of wheat (in conical form) when diameter and height are given?

 

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 the formula for calculation of volume of a cone?
10. How to calculate the volume of cone when height and slant height of the cone are given?
11. How to calculate the volume of tent when the base radius of the tent is given along with the canvas area?

• How to calculate the volume of right circular cone when radius and height are given?
• How to calculate the volume of right circular cone when radius and height are given?

14. How to calculate the capacity in liters of a conical vessel when the radius and slant height are given in centimeters?
15. How to calculate the capacity in liters of a conical vessel when the height and slant height are given in centimeters?
16. How to calculate the radius of base of cone when the height and volume of cone are given?
17. How to calculate the capacity of conical pit in kiloliters when the diameter and depth are given?
18. How to calculate the volume of the solid when a right triangle having three sides is revolved about one side?
19. How to find the area of canvas required to cover a heap of wheat (in conical form) when diameter and height are given?