1. 17.1 Equation of a Circle
How can you write the equation of a circle if you know its radius and the coordinates of its center?

2. Circle: the set of all points in the coordinate
plane that are a fixed distance r from the center 
(h,k)

3. 1. Write the equation of the circle with center
(-2,5) and radius of 3.

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5. 18.1 Volume of Prisms & Cylinders
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6. p. 925
base
height
radius
base
p. 928

8. Volume of a Cylinder: V = Bh (B=area of base) V = ∏r²h
base is always a circle
V = ∏r²h

9. Find the volume:
p. 929 #6
p. 932 #7

10. Volume= 4561 m³ x
12 m

15. 18.2 Volume of Pyramids
How do you find the volume of a pyramid?

16. 1.

17. 2.

18. 18.3 Volume of Cones
How do you calculate the volume of a cone?

19. 1.
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20. 2.

21. 18.4 Volume of Sphere
How do you calculate the volume of a sphere?

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23. 1.

24. 2.

25. 19.1 Cross Sections and Solids of Rotation

26. Net- a diagram of the surfaces of a three-dimensional figure that can be folded to form the three-dimensional figure
Net

27. Cross section- a region of a plane that intersects a solid figure
Cross sections of three-dimensional figures sometimes turn out to be simple figures such as triangles, rectangles, or circles.

29. Cross section-

30. Generating Three-Dimensional Figures

31. If cross section of a cylinder (or cone) is curved it forms an ellipse

32. 20.2 Modeling and Density

33. Density- the amount of matter that an object has in a given unit of volume

34. Example:
Burlington, Vermont has an area of about 160 km and a population of 109,000 people. What is the approximate population density of Burlington?