If a rectangle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape?

Question

Vito

Mathematics

23 November, 17:16

If a rectangle was rotated about the y-axis, like the one shown below, what would be the resulting three-dimensional shape?

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Tommy Harrington · Answer 1

You didn't include the figure.

Normally this kind of questions uses a rectangle with the base resting on the positive x-semiaxis and the height resting on the positive y-semiaxis.

In that case, when you rotate the rectangle about the y-axis you will generate a cylinder, with diameter equal to two times the base of the rectangle and height equal to the height of the rectangle.