# 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

# Volume and Surface Area of Composite Solids

Created 3 years ago

Duration 0:11:14
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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.
Slide Content
1. ### Slide 1 - Mathematics

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

• Exercise
4. ### 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. ### Slide 5 - Height of cone = height of cylinder

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

• Volume of cone =
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7. ### 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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8. ### 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.

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

• Slant height of cone =
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• Total surface area of the solid = curved surface area of cone + curved surface area of hemisphere
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• r =
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12. ### Slide 12 - Surface area of one cylinder =

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• Surface area of 1000 cylinders =
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• 15 cm