An ant starts from point a and crawls along the side of the cylinder to point C, Try to find the shortest way to crawl

An ant starts from point a and crawls along the side of the cylinder to point C, Try to find the shortest way to crawl

The side of the cylinder is expanded along AB to form a rectangle 20 long and 4 wide. Point C is the midpoint of the length of the rectangle,
Therefore, the shortest distance for ants to crawl is the straight line distance of AC line in the expanded graph
So the shortest distance = √ [(10) &# 178; + (4) &# 178;] = √ 116 = 2 √ 29

If an ant crawls from its bottom a to the top B opposite to a along the curved surface, the shortest length of the crawling path can be obtained

Unfold the side of the cylinder to form a rectangle, with the circumference of the bottom as the length and the height as the width
Point a is at one corner of the rectangle, and point B is the midpoint of the upper edge
Let's make BC vertical bottom, ABC is right triangle, AB square = BC square + AC square = root 841
Use your own computer

The circumference of the bottom surface of a cylinder is 14cm. The height AB is 24cm. The diameter BC is. The shortest path for an ant to crawl along the surface of the cylinder from point a to point C is

Why is there no wealth