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 1  Mathematics
 Volume and Surface Area of Composite solids
 2nd grade of Secondary School
 By: I Putu Eka Prana Yoga

Slide 2  Learning Objectives

Slide 3  Learning Agenda
 Exercise

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 twothirds 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.

Slide 5  Height of cone = height of cylinder
 =
 =
 Volume of cone =
 =

Slide 6  Since volume of cone = 5 liters = 5000
 Volume of cone =
 =
 =
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Slide 7  Volume of cylinder =
 =
 =
 =
 =
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 Amount of water needed to fill container completely = volume of cylinder + volume of cone
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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.

Slide 9  Volume of the solid = volume of cone + volume of hemisphere
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Slide 10  Pythagorasâ€™ 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
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 =
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Slide 11  Volume of the cylinder = 30
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 r =
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Slide 12  Surface area of one cylinder =
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 Surface area of 1000 cylinders =
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Slide 13  Time to Exercise:

Slide 14  Time to Exercise:

Slide 15  Time to Exercise:
 15 cm

Slide 16  Time to Exercise:

Slide 17  Time to Exercise:

Slide 18  About This Learning Material
 This learning material is made by:
 I Putu Eka Prana Yoga
 iputueka1993@gmail.com
 @putupranayoga