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.

Question ouverte 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?

Entrée de texte et de données mathématiques

Question ouverte 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?

Entrée de texte et de données mathématiques

Question ouverte 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?

Entrée de texte et de données mathématiques