chapter 11 circumference, area, and volumegreenstein.com/mvhs/geom/lessons/big ideas ch 11... ·...
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Chapter 11 Circumference, Area, and Volume11.1 Circumference and Arc Length 11.2 Areas of Circles and Sectors 11.3 Areas of Polygons 11.4 Three-Dimensional Figures 11.5 Volumes of Prisms and Cylinders 11.6 Volumes of Pyramids 11.7 Surface Areas and Volumes of Cones 11.8 Surface Areas and Volumes of Spheres
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11.7 Surface Areas and Volumes of ConesCones
• Slant height (l) - The distance between the vertex and the edge of the base.
• Height - Also called altitude, is the perpendicular distance between the vertex and the base. In a right cone, the height meets the center of the base.
• Base - Circular face of a cone.
• Vertex - The point in which the curved surface meets.
• Lateral surface - The curved surface connecting the vertex to the base edge.
l
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11.7 Surface Areas and Volumes of ConesSurface Area of a Right Cone
l
Lateral Surface Area of ConeL = πrl
Surface Area of Cone
S = B + L = πr 2 +πrl
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11.7 Surface Areas and Volumes of ConesVolume of a Cone
Volume of a Cone
V = 13 Bh = 1
3πr2h
Right Cone
Oblique Cone
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Composite SolidExample Compute the surface area and volume of the composite figure.
11.7 Surface Areas and Volumes of Cones
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Similar SolidsExample Cones A and B are similar.
a) What is the scale factor?
b) What is the volume of cone B?
11.7 Surface Areas and Volumes of Cones