Grades 11-12 Video Solutions 2011-11&12 Video Solutions 2011 problem8

11&12 Video Solutions 2011 problem8

Video Transcription

Video Summary

The video discusses how to determine the shape created when a rectangular sheet of paper, rolled into a cylinder, is cut and unrolled. By assigning a coordinate system and using cylindrical coordinates, the speaker derives the equation of a boundary line through points on the cylinder. This involves calculating the slope and simplifying the function to resemble a cosine wave. The resulting shape, which resembles a periodic graph of the cosine function, aligns with option C from the given multiple-choice diagrams. Thus, the answer is C.

Keywords

cylindrical coordinates

cosine wave

boundary line

cylinder

shape determination