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Geometry Mr. Bower BowerPower.net. What is a cone?  When you spin a right triangle (using one of the legs as an axis), you get a cone.

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Presentation on theme: "Geometry Mr. Bower BowerPower.net. What is a cone?  When you spin a right triangle (using one of the legs as an axis), you get a cone."— Presentation transcript:

1 Geometry Mr. Bower BowerPower.net

2 What is a cone?  When you spin a right triangle (using one of the legs as an axis), you get a cone

3 Cones vs. Pyramids  How are cones and pyramids similar?

4 Cones vs. Pyramids  How are cones and pyramids similar?  How are cones and pyramids different?

5 Parts of a cone  The apex is the point at the top of the cone APEX

6 Parts of a cone  The base is the circle at the bottom (or top, if you’re eating ice cream!) of the cone  The radius of that circle is called r. BASE

7 Parts of a cone  The perpendicular distance from the circular base to the apex is the height, which we call h.

8 Parts of a cone  The slant height, which we call l, is the distance from the apex to a point on the circle.

9 Right triangle in a cone 

10 Cone – Lateral Area 

11 Cone – Surface Area 

12 Cone – Volume 

13 Cone – Example  A cone has a height of 8 cm and a slant height of 10 cm.  Find the cone’s… Lateral Area Surface Area Volume

14 Cone – Example – How to start  A cone has a height of 8 cm and a slant height of 10 cm.  Let’s start by making sure we know h, r, and l.

15 Cone – Example – How to start  A cone has a height of 8 cm and a slant height of 10 cm.  h = 8 and l = 10  We need to calculate r.

16 Cone – Example – How to start 

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21 Cone – Example – Lateral Area 

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24 Cone – Example – Surface Area 

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28 Cone – Example – Volume 

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32 Cone – Summary 

33 BowerPower.net


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