Math Games for Middle School: Challenges and Skill-Builders for Students at Every Level by Mario Salvadori & Joseph P. Wright

Author:Mario Salvadori & Joseph P. Wright [Salvadori, Mario & Wright, Joseph P.]
Language: eng
Format: epub
Tags: Juvenile Nonfiction, Mathematics, General, Recreations & Games, Study & Teaching
ISBN: 9781569767276
Google: zncWTvABsdMC
Publisher: Chicago Review Press
Published: 1998-07-15T07:00:00+00:00

Figure 43 Moving the center of a vertical circle around the circumference of a larger horizontal circle creates a doughnut-shaped surface in space called a torus.

If you move the center of a circle along a straight line perpendicular to the circle, you get a cylinder (Fig. 44), which, if hollow, is a pipe and, if solid and straight, is a column, one of the most important elements in architectural construction.

Figure 44 Moving the center of a circle along a straight line perpendicular to the circle creates a cylinder.

In the examples just mentioned, the pipe and the column, the volume V of these three-dimensional figures is given by the area A of the moving circle times the length h of its line. For example, the volume of a circular column of height h generated by a horizontal circle of radius r is given by:

V = π × r2x h.

Different three-dimensional figures can be generated by moving plane figures other than a circle. For example, moving a vertical square or a vertical rectangle horizontally, one obtains a square or a rectangular prism (Fig. 45).

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