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Home > INT3 > Chapter 4 > Lesson 4.4.1 > Problem 4-104


Consider the three-dimensional figure at right.

  1. Sketch the two cross-sections for the indicated directions of the slice. Are they different? Why?

    Think about slicing a round cake with a slanted top. If you slice it horizontally and open it up, what shape will you see?
    What if you slice it vertically front-to-back? What about vertically left-to-right?

  2. Could one of the two cross-sections be used to create the original three-dimensional shape through revolution? Explain completely.


Cylinder, top has been sliced, so it is an oval, as opposed to a circle, such that the left side is higher than the right side. The radius of the bottom circle is labeled, R, the left side labeled, h2, right side labeled, h1. An arrow points vertically down, & another arrow points horizontally to the right.