MATH SOLVE

2 months ago

Q:
# 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?

Accepted Solution

A:

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 inches2. 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 inchesDifference in Radii= Radius of cylinder Z - Radius of cylinder Y = 3 - 2= 1 inchesDiagram shown below of both the cases: