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?

answer

If the rectangle ABDE is rotated about the line through CF, cylinder Y is created. The radius of a cylinder is: AB / 2 = 4 / 2 = 2 in. If the rectangle ABDE is rotated about the line through GH, cylinder Z is created. The radius of a cylinder is : DB / 2 = 6 / 2 = 3 in.The difference in the measures of the radii:r 2 - r 1 = 3 in. - 2 in. = 1 in.
The difference is 1 inch.

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