Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches
There are two kinds of rotations
1. one along the Breadth, side having length 6 inches,i.e rotated along line GH, Cylinder Z is created.
Radius of cylinder Z=6/2= 3 inches
2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.
Radius of cylinder Y= 4/2= 2 inches
Difference in Radii= Radius of cylinder Z - Radius of cylinder Y
= 3 - 2= 1 inches
Diagram shown below of both the cases:
The difference between the radii of cylinders Y and Z is 1 inch.
A rectangle is a 2D shape in geometry, having 4 sides and 4 corners. Its two sides meet at right angles.
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
The easiest way to draw it up is to make one vertical side AE and the other vertical side BD and with given AB=4 and BD =6, then doing a CF perpendicular to AB and DE.
Assuming that line CF is at the center of line DE and line GH is at the center of line BD. Then, the difference in the radii of the two cylinders can be determined by:
Difference = 6/2 - 4/2
Difference = 3 - 2
Difference = 1
Therefore, the difference between the radii of cylinders Y and Z is 1 inch.
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