Quadrilateral abde is a rectangle. de = 4 in. and bd = 6 in. if the rectangle is rotated about a line through cf, cylinder y is created. if the rectangle is rotated about a line through gh, cylinder z is created. what is the difference in the measures of the radii of cylinder y and cylinder z, in inches?

DE = 4 inches
BD = 6 inches

If the rectangle is rotated about a line through CF, cylinder Y is created.
If the rectangle is rotated about a line through GH, cylinder Z is created

Assuming that line CF is at the center of line DE and line GH is at the center of line BD. Then, the difference of the radii of the two cylinders can be determined by:

Diff = 6/2 - 4/2
Diff = 3 - 2
Diff = 1

Therefore, the difference between the radii of cylinder Y and Z is 1 inch.

Hope this helps!