Volumes of Solids of Revolution (part 4 of 4), Lesson Plan, Investigation.docx - Section 3: Investigation

 
  • volumes of solids of revolution part 4 of 4 lesson plan investigation
  Volumes of Solids of Revolution (part 4 of 4), Lesson Plan, Investigation.docx
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Volumes of Solids of Revolution (part 4 of 4)

Unit 7: Applications of Integration
Lesson 8 of 14

Objective: SWBAT compute volumes of solids revolved around horizontal and vertical lines. SWBAT derive the volume formulas for spheres and cones using solids of revolution.

Big Idea: Why is a sphere’s volume 4/3 pi*r^3 ? Why is a cone’s volume 1/3 pi*r^2*h? How can we split a solid into thirds? Calculus has the answers.

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Subject(s):
Math, Precalculus and Calculus, Integrals, AP Calculus AB, solids of revolution, volumes of solids, integration, calculus, AP Calculus, calculus ab
  60 minutes
solid of revolution paper
 
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