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?

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

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

Tear out pages 891-898

18.1 Volume of Prisms & Cylinders Tear out pages 925-934

p. 925 base height radius base p. 928

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

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

Volume= 4561 m³ x 12 m

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

1.

2.

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

1. Tear out pages 952-959

2.

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

Tear out pages 965-969

1.

2.

19.1 Cross Sections and Solids of Rotation

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

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.

Cross section- https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/vertical-slice-of-rectangular-pyramid

Generating Three-Dimensional Figures https://www.khanacademy.org/math/geometry/basic-geometry/cross-sections/v/rotating-2d-shapes-in-3d

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

20.2 Modeling and Density

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

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?