Geometry 19 March 2013 Warm up: Check your homework. For EACH PROBLEM: √ if correct. X if incorrect. Work with your group mates to find and correct any.

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Presentation transcript:

Geometry 19 March 2013 Warm up: Check your homework. For EACH PROBLEM: √ if correct. X if incorrect. Work with your group mates to find and correct any errors. Please use a different color. Give yourself a Grade. HOMEWORK DUE TODAY: pg. 534: 5, 7, 11, 12 pg. 540: 9, 10

Objective Students will explore the derivation of SA and Volume formulas and apply them to solve problems. Students will take notes, participate in whole class discussion and work with their group. HOMEWORK DUE FRIDAY March 22: PG. 572: 4, 6 – 11 (Find vol AND surface area); 14

Surface Area of Prisms and Cylinders In general, SA = A bases + A sides SA = A bases + A sides

Surface Area cone r = radius l = slant height

Volume of prisms and cylinders Area of the base x height V = A base x H Want more info?

V = 1/3 A base ∙ H

How can we find the formulas for the volume and surface area of a sphere??

How many hemispheres will it take to fill a cylinder if they both have the same radius and the height of the cylinder = 2r? see V sphere =

Volume of a sphere Steps: 1) cube the radius 2) multiply by 3) multiply by 4 4) divide by 3

In your classwork: What is the volume of a sphere with a radius of 6 cm? a. 288π cm3 b. 72π cm3 c. 144π cm3 d. 24π cm3

Surface Area of a Sphere algebraic proof see page 562

Surface area of a sphere Steps: 1) square the radius 2) multiply by 2) multiply by 4

practice Page 466: 1 – 8 Odd Tables: #9 Even Tables: #10 page 559: 1 – 5 Be ready to share your work with the class. Debrief What math did we do today? What is easy? What is still confusing?