Rotating Plane Figures to Form Solids

Rotating Plane Figures to Form Solids

Explore which three-dimensional solids are generated when basic plane figures are rotated around an axis.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Pergunta aberta 1

Choose the Rectangle option in the interactive. Which side of the rectangle determines the height of the cylinder, and which side determines the radius of the base?

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Pergunta aberta 2

In the right triangle, which leg acts as the axis of rotation/height, and which leg becomes the base radius? What feature of the cone does the hypotenuse form?

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Pergunta aberta 3

The trapezoid has two parallel sides perpendicular to the axis. How do these two lengths relate to the top and bottom circular faces of the truncated cone?

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