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?

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:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

the correct option is b

step-by-step explanation: