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Calculus 2 · Chapter 3 · Lesson 3.2 · Printable PDF

Surface Area of a Solid of Revolution Worksheet with Answer Key

6 problems on surface area of a solid of revolution. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Surface area of a solid of revolution worksheet with answer key - Calculus 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Find the area of the surface swept out when the segment y = 43(x - 4), 0 ≤ x ≤ 5, is turned about the x-axis.
  2. Find the exact area of the surface swept out when the curve y = 13x³/2, 5 ≤ x ≤ 12, is turned about the line x = -4.
  3. Let S be the area of the surface swept out when y = 1x², x ≥ 1, turns about the x-axis.
  4. Find the exact area of the surface swept out when the curve y = 2x², 0 ≤ x ≤ 1, is turned about the line x = -1.
  5. Sofia glazes the outside wall of a ceramic tumbler.
  6. Grace wraps a chocolate egg in foil.

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The free lesson teaches it with worked examples and practice problems.

Surface area of a solid of revolution: the lesson ›

More Chapter 3 worksheets: Further applications: arc length and more