Cylinders and Cones Unit 12 Section 3 Identify the parts of cylinders and cones Find the lateral areas, total areas, and volumes of right cylinders and.

Slides:



Advertisements
Similar presentations
Chapter 12 – Surface Area and Volume of Solids
Advertisements

1 Geometric Solids: Cylinders and Cones. Cylinders Cylinder: A right prism with circular bases. Therefore, the formulas for prisms can be used for cylinders.
Lesson 9-3: Cylinders and Cones
Section 8.3 Nack/Jones1 8.3 Cylinders & Cones. Section 8.3 Nack/Jones2 Cylinders A cylinder has 2 bases that are congruent circles lying on parallel planes.
Honors Geometry Section 7.4 Surface Area & Volume of Cylinders
12 – 3 Cylinders and Cones.
Chapter 12. Section 12-1  Also called solids  Enclose part of space.
6.3: Surface Areas of Pyramids and Cones
Surface Areas of Pyramids Unit 5, Lesson 4
9-1C Surface Area of Cylinders and Cones What are the parts of a cylinder? What is the formula for the lateral area of a cylinder? What is the formula.
LESSON THIRTY-SIX: DRAW LIKE AN EGYPTIAN. PYRAMIDS AND CONES So now that we have prisms under our collective belt, we can now begin to understand pyramids.
Surface Area and Volume
Geometry 11-3 Surface Areas of Pyramids and Cones.
 A Polyhedron- (polyhedra or polyhedrons)  Is formed by 4 or more polygons (faces) that intersect only at the edges.  Encloses a region in space. 
12.1 Prisms. Prisms are specific kinds of _____________ The word polyhedra is the plural form of polyhedron.
Chapter 10: Surface Area and Volume
OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids.
11.3 Surface Areas of Pyramids and Cones A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces)
Geometry B Section 12.3 Surface Area of Pyramids and Cones.
PrismsPyramids Have 2 bases Named by the shape of the bases Have 1 base Lateral faces meet at one point Named by the shape of the base Pentagonal Prism.
Surface Area of Pyramids and Cones SWBAT: Define Pyramid, Vertex of a pyramid, slant height, Regular Pyramid, Cone, and Right cone. Find the area.
Chapter 11: Surface Area & Volume
10-4 Surface Areas of Pyramids and Cones
Surface Area The sum of the area of all the faces of a polyhedron.
By: John Cao & Colby Le.  Find lateral areas of cones  Find surface areas of cones.
Obj: Find the lateral & surface area of cones (3.12.3)
Warm Up. Difference between a prism and a pyramid.
Section 12.3 Notes.
Prisms & Pyramids 1 Prism and Pyramids Formulas Prisms: Lateral Area: L.A. = ph (p = perimeter, h = height) Surface Area: S.A. = ph + 2B (B = area of base)
8.2 Surface Area Objectives:
Lesson 60 Geometric Solids Prisms & Cylinders. Geometric Solids right triangular prism right circular cylinder regular square pyramid right circular cone.
1 Cylinders and Cones. 2 Surface Area (SA) = ph + 2B = 2πrh + 2πr 2 Cylinders are right prisms with circular bases. Therefore, the formulas for prisms.
Surface Areas of Pyramids Section Find the Surface Area… Find the surface area of a cylinder with a diameter of 10cm and a height of 15cm.
Geometry 12.3 Part 2 Cones.
Lesson 72, day 2 Pyramids and Cones. Pyramids Pyramid: geometric solid with a polygon base, and triangle faces (lateral faces) Vertex: top of the pyramid.
Vertex Regular Pyramid – Slant Height - Altitude 1) Base is a regular polygon 2) Faces are congruent isosceles triangles 3) Altitude meets the base at.
Geometry Surface Area of Pyramids and Cones. December 8, 2015 Goals Know what a pyramid is. Find the surface area of a pyramid. Know what a cone is. Find.
Lesson : Prisms & Pyramids 1 Prisms and Pyramids.
Gaby Pavia and Gaby Pages. Section 12-1 Bases: congruent polygons lying in parallel planes Altitude: segment joining the two base planes and perpendicular.
Chapter 11: Surface Area and Volume Section 11-3: Surface Areas of Pyramids and Cones.
CHAPTER 12 AREAS AND VOLUMES OF SOLIDS 12-3 CYLINDERS AND CONES.
Surface Areas & Volume of Cylinders Tutorial 9a Lateral and Surface Area §A cylinder has two congruent parallel bases. §The bases of a cylinder are circles.
7.4: SURFACE AREA AND VOLUME OF CYLINDERS Expectation: G1.8.1: Solve multistep problems involving surface area and volume of pyramids, prisms, cones, cylinders,
3/17/ : Surface Area and Volume of Cones Expectation: G1.8.1: Solve multistep problems involving surface area and volume of pyramids, prisms, cones,
Group 6 Period 5 Problems Mac Smith, Jacob Sweeny Jack McBride.
Chapter 12 Group 6 P Crowley C Prince C King K Connell.
Prisms Unit 12 Section 1 Identify the parts of prisms Find the lateral areas, total areas, and volumes of right prisms.
Lesson 12-3 Cylinders and Cones (page 490) Essential Question How is the surface area and volume of pyramids and cones different from prisms and cylinders?
Surface area and Volume Ch Sol: G.10,12,13,14.
Lesson 12-3 Cylinders and Cones (page 490) Essential Question How can you calculate the area and volume of a cylinder and a cone?
LESSON Today: 12.2 Homework ?’s 12.3 Discovery 12.3 Lesson Warm-up: Discovery Activity.
Goal 1: To find the surface area of a pyramid Goal 2: To find the surface area of a cone.
Prism & Pyramids. Lesson 9-2: Prisms & Pyramids2 Right Prism Lateral Area of a Right Prism (LA) = ph Surface Area (SA) = ph + 2B = [Lateral Area + 2 (area.
Section 12-3 Cylinders. cylinder It is like a prism except that its bases are circles instead of polygons. Bases.
Warm Up Find the surface area of the right prisms.
Section 12-2 Pyramids.
Lesson Geometric Solids -- Prisms and Cylinders
Lesson 9-2: Prisms & Pyramids
Surface area and volume formulas
Lesson 9-3 Cylinders and Cones.
LT 10.6: Know and apply surface area and volume for pyramids and cones
11.6 Surface Area and Volume of Pyramids and Cones
NOTES 12.3 Surface Area of Circular Solids.
Section 12-3 Cones.
Regular Square Pyramid h l Vertex Lateral Edge Height Slant Height
Geometric Solids: Cylinders and Cones
Lesson 9-3: Cylinders and Cones
Volume of Pyramids and Cones
Lesson 9-3: Cylinders and Cones
Presentation transcript:

Cylinders and Cones Unit 12 Section 3 Identify the parts of cylinders and cones Find the lateral areas, total areas, and volumes of right cylinders and right cones

Cylinders h r Cylinders: like prisms except that bases are circles instead of polygons Right cylinder Oblique cylinder In right cylinders, the segment joining the centers of the circular bases is an altitude. The length of the altitude is called the height, h The radius of the base is also called a radius, r Formulas LA = 2 п rh TA = 2 п rh + 2 п r ² V = п r ² h

Cones h r Cone: like pyramid except that base are circles instead of polygons Right cone Oblique cone In right cone, the segment joining the point to the center of the circular base is an altitude. The length of the altitude is called the height, h The radius of the base is also called a radius, r Formulas LA = п rl TA = п rl+ п r ² V = ½п r ² h Slant height, l Slant height applies only to a regular pyramid and a right cone

Example Refer to the diagrams and complete the chart. 7 cm 5 cm 13 m 24 m CylinderCone 1.B 2.LA 3.TA 4V Practice: Lesson 12.3 Notes #1-4 Homework: Practice Worksheet 12.3