Question

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. Rectangle A B D E is shown. Point C is the midpoint of side D B, point G is the midpoint of side B A, point F is the midpoint of side E A, and point H is the midpoint of side D E. Side D E has a length of 4 inches and side B D has a length of 6 inches. What is the difference in the measures of the radii of cylinder Y and cylinder Z, in inches? 1 2 4 5

Answer 1

answer a

Explanation:

Answer 2

1 in. is the answer.

Explanation:

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: