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 Algebra	
  Library	
  
	
  
Chapter 1: Pre-Algebra Concepts
Lesson 3.5: Applications of Numerical Expressions
	
  
	
  
Practice

Refer to the following diagram in answering the questions.




       1.   Write an expression for finding the volume of the cone less the volume of

            the cylinder.

       2.   Evaluate the expression from the previous question under the following

            conditions:

               a. h1 = 2, h2 = 3, r1 = 1.5, r2 = 3

               b. h1 = 4, h2 = 7, r1 = 3, r2 = 5

               c. h1 = 4, h2 = 6, r1 = 4, r2 = 6

               d. h1 = 7, h2 = 10, r1 = 4, r2 = 8




                                               1	
  
 Algebra	
  Library	
  
	
  
Chapter 1: Pre-Algebra Concepts
Lesson 3.5: Applications of Numerical Expressions
	
  
	
  
Answer Key

            1 2
              r h            r12h1
       1.   3 2 2
       2.
              a.   14.1372
              b.   70.1622
              c.   8π
              d.   318.348




                                         2	
  

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1.3.5

  • 1.  Algebra  Library     Chapter 1: Pre-Algebra Concepts Lesson 3.5: Applications of Numerical Expressions     Practice Refer to the following diagram in answering the questions. 1. Write an expression for finding the volume of the cone less the volume of the cylinder. 2. Evaluate the expression from the previous question under the following conditions: a. h1 = 2, h2 = 3, r1 = 1.5, r2 = 3 b. h1 = 4, h2 = 7, r1 = 3, r2 = 5 c. h1 = 4, h2 = 6, r1 = 4, r2 = 6 d. h1 = 7, h2 = 10, r1 = 4, r2 = 8 1  
  • 2.  Algebra  Library     Chapter 1: Pre-Algebra Concepts Lesson 3.5: Applications of Numerical Expressions     Answer Key 1 2 r h r12h1 1. 3 2 2 2. a. 14.1372 b. 70.1622 c. 8π d. 318.348 2