Rotating Plane Figures to Form Solids
Explore which three-dimensional solids are generated when basic plane figures are rotated around an axis.
Úkol 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Úkol 2
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?
Úkol 3
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?
Úkol 4
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?