geometry 19 march 2013 warm up: check your homework. for each problem: √ if correct. x if...
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Geometry 19 March 2013Warm up: Warm up: Check your homework. Check your homework. For EACH PROBLEM: √ if correct. X if incorrect.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.Give yourself a Grade.
HOMEWORK DUE TODAY:pg. 534: 5, 7, 11, 12 pg. 540: 9, 10pg. 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 Surface Area of Prisms and CylindersPrisms and Cylinders
In general,
SA = ASA = Abasesbases + A + Asidessides
Surface AreaSurface Areaconecone
r = radiusl = slant height
Volume of Volume of
prisms and cylinders prisms and cylinders
Area of the base x heightArea of the base x height
V = AV = Abasebase x H x HWant more info? Want more info?
http://math.about.com/od/formulas/ss/surfaceareavol_3.htmhttp://math.about.com/od/formulas/ss/surfaceareavol_3.htm
V = 1/3 AV = 1/3 Abasebase∙ H∙ H
3baseA H
V
How can we find the formulas for the volume and surface area
of a sphere??
How many hemispheres will it take to fill a How many hemispheres will it take to fill a cylinder if they both have the same radius and cylinder if they both have the same radius and
the height of the cylinder = 2r?the height of the cylinder = 2r?see http://www.youtube.com/watch?v=aLyQddyY8ik
Vsphere = 22
3r H
Vsphere = 2 32 4(2 )
3 3r r r
Volume of a sphereVolume of a sphere
34
3
rV
r
Steps: 1) cube the radius2) multiply by 3) multiply by 44) divide by 3
In your classwork:
What is the volume of a spherewith a radius of 6 cm?a. 288π cm3b. 72π cm3c. 144π cm3d. 24π cm3
Surface Area of a Spherealgebraic proof
see page 562http://www.youtube.com/watch?v=rUgw8aZo7F0&feature=related
Surface area of a sphereSurface area of a sphere
24S r4in
Steps: 1) square the radius2) multiply by 2) multiply by 4
practicePage 466: 1 – 8 Odd Tables: #9 Even Tables: #10page 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?
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