Volume and Surface Area of Cones. 2nd Grade of Secondary School

Explaining about Volume and Area of Cones. The learning material resources for media taken from New Syllabus Mathematics book (7ed), published by Shinglee.

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Volume and Surface Area of Cones. 2nd Grade of Secondary School

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Explaining about Volume and Area of Cones. The learning material resources for media taken from New Syllabus Mathematics book (7ed), published by Shinglee.
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Slide Content
  1. Mathematics

    Slide 1 - Mathematics

    • Volume and Surface Area of Cones
    • 2nd grade of Secondary School
    • By: I Putu Eka Prana Yoga
  2. Calculate the volume and the surface area of cones.

    Slide 2 - Calculate the volume and the surface area of cones.

    • Solve problems involving the volume and the surface area of composite solids made up of cones.
    • Learning Objectives
  3. Learning Agenda

    Slide 3 - Learning Agenda

    • Classroom Discussion
    • Types of Cones
    • Volume and Surface Area of Cones
    • Exercise
  4. What are Cones?

    Slide 4 - What are Cones?

    • Ice Cream Cone
    • Party Hat
    • Can you identify some common features of these cones?
    • What do you notice about the slanted faces of these cones?
    • What do you notice about the bases of these cones?
  5. Definition of Cone

    Slide 5 - Definition of Cone

    • A cone is solid in which the base is bounded by simple closed curve and the curved surface tapers into a appoint called apex, which is opposite the base.
    • Apex
    • Height
    • Slant Height
  6. Types of Cones

    Slide 6 - Types of Cones

    • Circular Base
    • Elliptical Base
    • Circular Cone
    • Elliptical Cone
  7. Types of Cones

    Slide 7 - Types of Cones

    • Circular Base
    • Elliptical Base
    • Circular Cone
    • Elliptical Cone
    • Circular Cone
  8. Investigation

    Slide 8 - Investigation

  9. Ice Cream Cone’s

    Slide 9 - Ice Cream Cone’s

    • 3 cm
    • 16 cm
    • 3.3 cm
    • 15 cm
    • 3.7 cm
    • 14 cm
    • 4 cm
    • 13 cm
    • A
    • B
    • C
    • D
  10. Volume of Cone

    Slide 10 - Volume of Cone

    • Volume of Cone =
    • =
  11. A Cone has a circular base of radius 12 cm and height of 30 cm. Find the volume of the cone.

    Slide 11 - A Cone has a circular base of radius 12 cm and height of 30 cm. Find the volume of the cone.

    • Example 1
    • 30 cm
    • 12 cm
    • Volume of Cone =
  12. Exercise 1

    Slide 12 - Exercise 1

    • 14 cm
    • 6 cm
  13. The figure shows a frustum which is obtained by removing the smaller cone OAB with base radius of 6 cm from the bigger cone OCD that has a base radius of 18 cm. Given that the height of the frustum is 10 cm, find its volume!

    Slide 13 - The figure shows a frustum which is obtained by removing the smaller cone OAB with base radius of 6 cm from the bigger cone OCD that has a base radius of 18 cm. Given that the height of the frustum is 10 cm, find its volume!

    • Example 2
    • 30 cm
    • 12 cm
  14. Example 2

    Slide 14 - Example 2

  15. Example 2

    Slide 15 - Example 2

    • 15 cm
    • 5 cm
  16. Exercise 2

    Slide 16 - Exercise 2

  17. Surface Area of Cones

    Slide 17 - Surface Area of Cones

    • Total Surface Area of Cone =
  18. A cone has a circular base of radius 6 cm and a slant height of 10 cm. Find the total surface area of the cone!

    Slide 18 - A cone has a circular base of radius 6 cm and a slant height of 10 cm. Find the total surface area of the cone!

    • Example 3
    • 10 cm
    • 6 cm
    • Total surface area of the cone =
  19. Exercise 3

    Slide 19 - Exercise 3

    • 7 cm
    • 4 cm
  20. A cone has a circular base of radius 3 m and a height of 4 m. Find the curved surface area of the cone!

    Slide 20 - A cone has a circular base of radius 3 m and a height of 4 m. Find the curved surface area of the cone!

    • Example 4
    • 4 m
    • 3 m
    • The curved surface area of the cone =
  21. Quiz

    Slide 21 - Quiz

  22. Time to Excercise:

    Slide 22 - Time to Excercise:

  23. Quiz 1

    Slide 23 - Quiz 1

    • 14 cm
    • 7 cm
  24. Quiz 2

    Slide 24 - Quiz 2

  25. Quiz 3

    Slide 25 - Quiz 3

  26. Quiz 4

    Slide 26 - Quiz 4

  27. Slide 27

    • 25 mm
    • Circumference of Base= 132 mm
    • Quiz 5
  28. Quiz 6

    Slide 28 - Quiz 6

  29. Quiz 7

    Slide 29 - Quiz 7

  30. About This Learning Material

    Slide 30 - About This Learning Material

    • This learning material is made by:
    • I Putu Eka Prana Yoga
    • iputueka1993@gmail.com
    • @putupranayoga