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SAT Practice Questions: Finding Volume

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Updated:  
2017-01-28 2:01:16
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From The Book:  
Digital SAT 5-Hour Quick Prep For Dummies
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The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice questions, it will ask you to find the total volume of two combined shapes.

Practice questions

Both questions are based on the following information.

sat1001_volume

  1. What is the volume of the cotton candy machine in terms of pi? SAT1001_eq1101
  2. Which is closest to the volume of the cotton candy machine in cubic feet? A. 20 B. 30 C. 40 D. 50

Answers and explanations

  1. The correct answer is Choice (A). Per the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with SAT1001_eq1102 The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone: SAT1001_eq1103 Then the cylinder: SAT1001_eq1104 Now add the volumes together: SAT1001_eq1105
  2. The correct answer is Choice (D). Per the formula bar at the beginning of the SAT's Math section, you can find the volumes of a right circular cone and cylinder with SAT1001_eq1106 The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone: SAT1001_eq1107 Then the cylinder: SAT1001_eq1108 Now add them together and multiply by 3.14 for pi: SAT1001_eq1109

About This Article

This article is from the book: 

About the book author:

Ron Woldoff, MBA, is the founder of National Test Prep, where he helps students achieve their goals on the SAT, GMAT®, and GRE®. He teaches prep courses at Arizona and is the author of several test-prep books.