 Cone: a solid with one base that is a circle, and a curved, smooth lateral surface that comes to a point, the apex. No, because it has a curved lateral.

Slides:



Advertisements
Similar presentations
Surface Area of Prisms and Cylinders Section 12.2
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
 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.
Surface Area of Circular Solids Lesson 12.3 cylinder cone sphere.
12 – 3 Cylinders and Cones.
12-3. Pyramids  A pyramid is a polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that.
6.3: Surface Areas of Pyramids and Cones
Lateral Area, Surface Area, and Notes
Review: Surface Area (SA) of Right Rectangular Prisms and Cylinders
A prism is a solid whose sides (lateral sides) are parallelograms and whose bases are a pair of identical parallel polygons. A polygon is a simple closed.
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.
Surface Area & Volume G.13.
matthew schembri class 4;2 1 MATHS A R E A A N D / O R S U R F A C E A R E A.
Surface Area of Pyramids and Cones Section 12.3 Goal – to find the surface area of a pyramid and the surface area of a cone.
Warm-up Find the surface area of the prism below. 3 cm.
Surface Area of Cones Lesson 15. Write the surface area formula for each solid. 1. Prism 2. Cylinder 3. Pyramid 4. Find the surface area of each solid.
12.3 Surface Area of Circular Solids
Objective: To be able to use the formula for the Curved Surface Area of a Cone, alongside other mathematical topics.
OBJECTIVE AFTER STUDYING THIS SECTION, YOU WILL BE ABLE TO FIND THE SURFACE AREAS OF CIRCULAR SOLIDS 12.3 Surface Areas of Circular Solids.
Volume & Surface Area Section 6.2. Volume The volume is a measure of the space inside a solid object. Volume is measure of 3 dimensions. The units of.
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.
The Cone A Cone is a three dimensional solid with a circular base and a curved surface that gradually narrows to a vertex. Volume of a Cone = ++=
Chapter 11: Surface Area & Volume
Surface Area and Volume of Cones
Section 12.3 Surface Area of Pyramids and Cones. Pyramid: polyhedron with one base lateral faces- triangles Slant Height: altitude of any lateral face.
Polyhedrons Solid - a three-dimensional figure Polyhedra or Polyhedrons - solid with all flat surfaces Faces - the flat surfaces of a solid Edges - line.
Volume of Cones Unit 3: Geometric Applications of Exponents.
Essential Question: Can I find the surface area of a cylinder?
Slide Surface Area  Surface Area of Right Prisms  Surface Area of a Cylinder  Surface Area of a Pyramid  Surface Area of a Cone  Surface Area.
Obj: Find the lateral & surface area of cones (3.12.3)
Find lateral areas of cones. Find surface areas of cones.
Warm Up. Difference between a prism and a pyramid.
 Lateral Surface Area : S = ½ P l  P represents the perimeter of the base and l represents the slant height  Total Surface Area : S = ½ P l + B 
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)
 Def: A cylinder is a circular solid with two circular bases. r h L.A. = 2πrh S.A. = 2πrh +2πr 2.
8.2 Surface Area Objectives:
Objective: To find the Volume & Surface Area of cones and cylinders.
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.
Bell Ringer Find the surface area of each figure. SA = 2lw + 2lh + 2wh SA = 2(4*2) + 2(4*3) + 2(2*3) SA = SA = 52 units² SA = Area of Base.
Notes Over Surface Area l b.
11-3 Surface Areas of Pyramids and Cones
Surface Area of Pyramids and Cones Pyramid Cones Has a square base and comes to a point Has a circle base and comes to a point.
11-1 Space Figures and Cross Sections. Polyhedra A polyhedron is a three- dimensional figure whose surfaces are polygons. Each polygon is a face of the.
11.2 Surface Area of Prisms and Cylinders. Prism - a polyhedron with exactly 2 congruent, parallel faces, called bases. (base shape names the prism) Lateral.
Boyd/Usilton.  A pyramid is a polyhedron in which one face (base) can be any polygon and the other faces (lateral) are triangles.  A regular pyramid.
Surface Area of Cylinders
 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.
 A cylinder has two identical flat ends that are circular and one curved side.  Volume is the amount of space inside a shape, measured in cubic units.
Geometry Practice Test Prisms Find the (1) lateral area and (2) total area and (3) volume of the right prism (1) LA = pH LA.
Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).
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.
Surface Area of a Cylinder Geometry. Overview Find the area of a circle Find the circumference of a circle Find the area of rectangle Find the surface.
9.2; 11-13, 24-26, ~ ~
Geometric Solids: Cylinders and Cones
Lateral Area, Surface Area, and Notes
Lesson 9-3 Cylinders and Cones.
11.2, 11.3 Surface Areas of Prisms, Cylinders, Pyramids, and Cones
NOTES 12.3 Surface Area of Circular Solids.
Surface Area of Pyramids and Cones
Lateral Area & Surface Area Of Pyramids & Cones
Chapter 10 Extension Objective: To find missing dimensions
Given that they are equivalent, what is the diameter of the sphere?
Lateral Area, Surface Area, and Notes
Surface Area.
Geometric Solids: Cylinders and Cones
Lesson 9-3: Cylinders and Cones
~ SA & Vol of Cylinders, Cones & Spheres
Lesson 9-3: Cylinders and Cones
Presentation transcript:

 Cone: a solid with one base that is a circle, and a curved, smooth lateral surface that comes to a point, the apex. No, because it has a curved lateral surface area.

c. LA = ½ (12 π ) (13) LA = 78 π cm² SA = LA + πr² SA = 78 π + 36π d. LA = ½ (13 π) (12) LA = 78 π cm² SA = LA + πr² SA = 78 π ² π

Cylinder A has a height of 8cm. Cone B has a slant height of 8cm. Each shape has a base radius of 6 cm. Find the lateral area and surface area of Cylinder A and Cone B.

Finish the worksheet on lateral and surface area.