Warm Up 1. The side of a pyramid that is opposite the pyramid’s vertex is the _________________. 2. What is the volume of a pyramid with a height of 5 centimeters and a base area of 12 square centimeters? 3. The distance from the vertex of a regular pyramid to the midpoint of an edge of the base is called the ______________________.

Lesson 77, Surface Area and Volume of Cones Geometry

Vocabulary  Cone: a 3D figure with a circular base and a curved lateral surface that connects the base to a point called the vertex.  Base: the circular face of a cone  Vertex: the point opposite the base  Altitude: perpendicular segment from the vertex to the plane containing the base  Right cone: cone formed when the altitude has an endpoint on the center of the base  Oblique cone: cone formed when the altitude does not intersect the center of the base

Vocabulary/Formulas

Example Calculate the lateral surface area of a cone with a radius of 3 centimeters and a slant height of 5 centimeters.

Example Calculate the surface area of a cone with a radius of 7 inches and a slant height of 10 inches. Round your answer to the nearest square inch.

Example Calculate the volume of a cone with a 1 meter radius and a height of 2 meters. Round your answer to the nearest tenth of a meter.

Example Funnel cake is made by filling a funnel with batter and letting the batter run out the bottom of the funnel. If the funnel is a right circular cone that is 3 inches tall and has a radius of 1.5 inches, how much batter can it hold, to the nearest hundredth of a cubic inch?

Homework  1 st and 2 nd hour: Lesson 77: a-d, 1, 6, 11, 12, 13, 18, 20, 22, 25, 27