Grades 11-12 Video Solutions 2021-video 2021 11-12/6

Video Transcription

Video Summary

The problem involves folding a rectangular sheet of paper, with length x and width y (where x > y), into two different cylinders. The first cylinder has a circumference x and height y, and the second has a circumference y and height x. By calculating the radii and using the formula for cylinder volume, the volumes are determined to be x^2/(4πy) and y^2/(4πx). The task is to find the volume ratio of the longer cylinder to the shorter one. The solution reveals that the ratio is y/x, making the answer y to x.

Keywords

cylinder

volume ratio

paper folding

rectangular sheet

geometry