Volume and Surface Area of Composite Solids

This Mix explain about Volume and Area of Composite Solids The learning material resources for media taken from New Syllabus Mathematics book (7ed), published by Shinglee.

MathematicsVolumeSurface AreaConesSecondary School
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Volume and Surface Area of Composite Solids

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This Mix explain about Volume and Area of Composite Solids 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 Composite solids
    • 2nd grade of Secondary School
    • By: I Putu Eka Prana Yoga
  2. Learning Objectives

    Slide 2 - Learning Objectives

  3. Learning Agenda

    Slide 3 - Learning Agenda

    • Exercise
  4. Example 1

    Slide 4 - Example 1

    • A container is made up of a hollow cone with an internal base radius of r cm and a hollow cylinder with the same base radius and an internal height of 2r cm. Given that the height of the cone is two-thirds of the height of the cylinder and 5 liters of water is needed to fill the conical part of the container completely, find the amount of water to fill the container completely, giving your answer in liters.
  5. Height of cone		=   height of cylinder

    Slide 5 - Height of cone = height of cylinder

    • =
    • =
    • Volume of cone =
    • =
  6. Since volume of cone = 5 liters = 5000

    Slide 6 - Since volume of cone = 5 liters = 5000

    • Volume of cone =
    • =
    • =
    • =
  7. Volume of cylinder 	=

    Slide 7 - Volume of cylinder =

    • =
    • =
    • =
    • =
    • =
    • Amount of water needed to fill container completely = volume of cylinder + volume of cone
    • =
  8. Example 2

    Slide 8 - Example 2

    • A solid consist of a cone and a hemisphere which share a common base. The cone has a height of 4 cm and a base diameter of 6 cm.
    • Find
    • Volume
    • Total Surface
    • The solid is melted and recast to from a solid cylinder with a height of 4 cm. Find the radius of the cylinder
    • If 1000 identical cylinder are to be painted and each tin of paint is enough to paint an area of 5, find the number of tins of paint needed.
  9. Volume of the solid 	= volume of cone + volume of hemisphere

    Slide 9 - Volume of the solid = volume of cone + volume of hemisphere

    • =
    • =
    • =
    • =
  10. Pythagoras’ Theorem, we can find the slant height of cone.

    Slide 10 - Pythagoras’ Theorem, we can find the slant height of cone.

    • Slant height of cone =
    • =
    • Total surface area of the solid = curved surface area of cone + curved surface area of hemisphere
    • =
    • =
    • =
    • =
  11. Volume of the cylinder 	=  30

    Slide 11 - Volume of the cylinder = 30

    • =
    • =
    • =
    • =
    • r =
    • =
  12. Surface area of one cylinder	=

    Slide 12 - Surface area of one cylinder =

    • =
    • =
    • =
    • Surface area of 1000 cylinders =
    • =
    • =
  13. Time to Exercise:

    Slide 13 - Time to Exercise:

  14. Time to Exercise:

    Slide 14 - Time to Exercise:

  15. Time to Exercise:

    Slide 15 - Time to Exercise:

    • 15 cm
  16. Time to Exercise:

    Slide 16 - Time to Exercise:

  17. Time to Exercise:

    Slide 17 - Time to Exercise:

  18. About This Learning Material

    Slide 18 - About This Learning Material

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