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Geometry · Chapter 12 · Lesson 12.8 · Printable PDF

Solids of Revolution Worksheet with Answer Key

6 problems on solids of revolution: spinning rectangles, triangles and regions about an axis, cones and cylinders, disk and ring slices, a woodturner's top, and a solid from slices. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Solids of revolution worksheet with answer key - Geometry (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Name each solid of revolution, give its dimensions and find its exact volume.
  2. Find k from a cone's volume and the height where a slice has a given area.
  3. Describe the solid from spinning a triangle about the x-axis and find its volume and a slice.
  4. Describe the slices of a two-rectangle region spun about the y-axis and find the volume.
  5. Find the volume of a spinning top turned on a lathe from its outline.
  6. Find the volume of a solid with disk slices low down and ring slices above.

Teach it first

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

Solids of revolution: the lesson ›

More Chapter 12 worksheets: Area and volume