quadrilateral abde is a rectangle. de = 4 in. and bd = 6 in. if the rectangle is rotated about a line…
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? 1 2 4 5
Answer
Explanation:
Step1: Determine radius of cylinder Y
When rectangle ABDE is rotated about line through CF, the radius of cylinder Y is half of DE. Since DE = 4 in, radius of cylinder Y, $r_Y=\frac{DE}{2}=\frac{4}{2}=2$ in.
Step2: Determine radius of cylinder Z
When rectangle ABDE is rotated about line through GH, the radius of cylinder Z is half of BD. Since BD = 6 in, radius of cylinder Z, $r_Z=\frac{BD}{2}=\frac{6}{2}=3$ in.
Step3: Calculate the difference
The difference in radii is $r_Z - r_Y=3 - 2 = 1$ in.
Answer:
1