Grades 11-12 Video Solutions 2023-2023_11-12

Video Transcription

Video Summary

The problem involves calculating the length of an ant's path on a cylindrical can with a height of 15 cm and a base perimeter of 30 cm. The ant walks from point A on the base to point B directly above it on the top. The path includes vertical and horizontal components. The horizontal paths add up to two complete circuits around the perimeter, and the vertical paths sum to the height of the can. Therefore, the total path length is calculated as \(2 \times 30 + 15 = 75\) cm. The solution is 75 cm.

Keywords

ant path

cylindrical can

path length

perimeter

vertical component