A sphere is a set of points in three dimensional space equidistant from a point called the center of the sphere. The distance from the center to the points.

Slides:



Advertisements
Similar presentations
SURFACE AREA Prisms and Cylinders Section 6-2. Prism A polyhedron with two congruent parallel bases Named by the shape of the bases The other faces are.
Advertisements

Surface Area of Circular Solids Lesson 12.3 cylinder cone sphere.
SECTION 9-5 Volume and Surface Area Slide VOLUME AND SURFACE AREA Space Figures Volume and Surface Area of Space Figures Slide
Volumes. Polyhedrons What is a polyhedron? Circles are not polygons.
Section 2.4 Three Dimensional Shapes MA418 McAllister Spring 2009.
Surface Area and Volume of Prisms & Cylinders Surface Area and Volume of Prisms & Cylinders Objectives: 1) To find the surface area of a prism. 2) To find.
Surface Area & Volume G.13.
Surface Area & Volume Prism & Cylinders.
Surface Area and Volume
 A Polyhedron- (polyhedra or polyhedrons)  Is formed by 4 or more polygons (faces) that intersect only at the edges.  Encloses a region in space. 
12.3 Surface Area of Circular Solids
Facts about Area of Shapes Dr. Kent Bryant 5/2011.
Perimeter, Area, Surface Area, and Volume Examples
Geometry Jeopardy! Ch 1-6 Formulas & Definitions SA of Prisms & Cylinders SA of Cones & Pryamids Volume of Prisms & Cylinders Volume of Cones & Pyramids.
FILLING AND WRAPPING VocabularyPROBLEMSSURFACE AREA Miscellaneous VOLUME.
Surface Area of Prisms and Cylinders
Finding the surface area of a three dimensional object.
The Geometry of Solids Section 10.1.
GEOMETRY Today: PSAE 12.3 Instruction Practice Bridge Tips: Measure the wood used on your sketch before you start cutting and gluing.
11 – 5 Volumes of Pyramids & Cones
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.
Chapter 11: Surface Area & Volume
Section 12.3 Surface Area of Pyramids and Cones. Pyramid: polyhedron with one base lateral faces- triangles Slant Height: altitude of any lateral face.
Surface Area The sum of the area of all the faces of a polyhedron.
Lesson 12-1, 2, 7 & D Figures Nets Spheres.
10.9 Surface Area – I can find the surface areas of prisms, pyramids, and cylinders.
11-6 Surface Areas and Volumes of Spheres
Warm Up Find each measurement. 1. the radius of circle M if the diameter is 25 cm 2. the circumference of circle X if the radius is 42.5 in. 3. the area.
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)
Surface Area/Volume SF, SA & Volume Formula Identification Vocabulary Terms VolumeSurface.
Surface area & volume UNIT 4. Prisms SECTION 1  Prism: three dimensional shape with two parallel sides  Bases: sides parallel to each other  Lateral.
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.
An introduction to 3D Figures
WARM UP Find the Lateral and Surface Area of the following figures. Leave your answers in terms of π 10 minutes End.
Notes Over Surface Area l b.
11-3 Surface Areas of Pyramids and Cones
Vertex Regular Pyramid – Slant Height - Altitude 1) Base is a regular polygon 2) Faces are congruent isosceles triangles 3) Altitude meets the base at.
 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.
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.
Surface Areas 8.7 Surface Area. Objective Apply the surface area formula to various 3-dimensional figures in order to find the area 8.7 Surface Area.
10.7: Surface Areas and Volumes of Spheres Objective: To find the surface area and volume of a sphere.
12.6 – Surface Area and Volume of Spheres. Sphere: The set of all points in space equidistant from a given point.
Surface Area & Volume.
 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.
Volume of a Cylinder How much will I hold?. A cylinder has two identical flat ends that are circular and one curved side. Volume is the amount of space.
 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.
9.5 Space Figures, Volume, and Surface Area Part 1: Volume.
12.6 – Surface Area and Volume of Spheres LAST NOTES OF THE YEAR! SPHERE NOT!
Geometry Practice Test Prisms Find the (1) lateral area and (2) total area and (3) volume of the right prism (1) LA = pH LA.
Entry Task 1. How many vertices, edges, and faces are in the polyhedron below? List them using the proper notation. 2. Use your answers to part 1 to verify.
Lateral Surface Area Lateral Surface Area is the surface area of the solid’s lateral faces without the base(s).
Geometric Solids Volume of Prisms & Cylinders. Polyhedrons One type of geometric solids is a polyhedron A solid with flat faces – each face is a polygon.
Surface Area Total area on the surface of the figure, amount of paper needed to cover it.
Section 12.2 Surface Area of Prisms and Cylinders June 11, 2016.
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.
Surface Area and Volume of a Sphere Essential Question: How to find the surface area and volume of a sphere? Sphere – set of all points in space equidistant.
Surface Area and Volume of Cylinders Mr. Bench PVMS.
10.6 Surface Area & Volume of Spheres
Volume and Surface Area
Volume of a Cylinders, Cones, and Spheres How much will I hold. MGSE8
Objectives Learn and apply the formula for the volume of a sphere.
Measurement of Solids & Figures
Chapter 12 Area and Volume.
Surface Area and Volume of Pyramids, Cones and Spheres
3-D Shapes Topic 14: Lesson 7
5.6 Surface Area of 3D Figures
9.4 – Perimeter, Area, and Circumference
Objectives Learn and apply the formula for the volume of a sphere.
Presentation transcript:

A sphere is a set of points in three dimensional space equidistant from a point called the center of the sphere. The distance from the center to the points on the sphere is called the radius of the sphere.

A quick review and missed information on a note card: How do you find the volume of a sphere? 4 π r ³ 3 r Add this formula to your volume note card!

How do you find the surface area of a polyhedron?

Find the surface area of this icosahedron. Hint: this is one of the Platonic solids! 10 cm What do you know about all of the faces? -regular triangles -congruent How do you find the area of a an equilateral triangle? A = ¼ √3 side ² 10 cm Area of 1 triangle = 25  3 How many faces are there? 500  3 cm²

Same idea - find the area of each face and add them all together What do the faces of a cylinder look like??? Joseph Campbell and Abraham Anderson formed a business that would one day become one of the most recognized in the world and serve as a symbol of Americana: Campbell Soup Company. This was in 1869, when Ulysses S. Grant was sworn into the Presidency. Take a closer look at some very famous cylinders to answer that question.

What about this? π r² height of can (h) goes around the circle circumference - 2 πr Area = 2 πr h

What about this? π r² Area = 2 πr h πr² ++ 2πr h 2πr² + 2πr h

6 ft 4 ft x2 r²r² h 2r2r 2  rh X 2 = SA = ft²

r²r² rlrl l l l = slant height  r l +  r² height l

3 cm 4 cm 5 cm  r l +  r²   3² cm²

r Surface area = 4  r² A sphere is basically made up of a bunch of layers of circles. What do you notice about the sizes of the circles? Where is the largest circle?

r Surface area = 4  r² Area of the largest circle or center of the sphere, called a great circle. It takes 4 great circles to cover the surface of the sphere.

18 m Surface area = 4  r² = 4  18² = m²

Try to find my surface area!! Kidding! There are other fun problems for you to do!