An open (hollow) cylindrical barrel has a base radius 14 cm and a height of 33cm

Question

A) find the volume and the surface area of the barrel.
B) if a fly is at the point on the bottom inner rim of the barrel, how much distance (minimum) will it have to travel to reach the farthest point on the barrel?
C)if a ant is at the point on the bottom inner rim of the barrel, how much distance (minimum) will it have to travel to reach the farthest point on the barrel?

Answer 1

why are B and C the same?

v = πr^2h = 6468π cm^3
a = πr^2 + 2πrh = 1120π cm^2

As for the distance, the most obvious answer is to go right across the bottom and straight up, for a distance of 28+33=61 cm.

To figure minimum distance, you have to find the length of 1/2 of a turn of a helix of radius 14 and length 66: 54.99 cm.

Answer 2

first of all whosoever came to this site to check the answer please don't do so as it gives totally wrong answer...in the first place the answer to the fly question is totally wrong without any logic or anything so I would like to say that if you want the real answer it will be that if applied like travels from the diagonal it will be the father's distance forms of Pythagoras theorem write a right angle triangle in which the base of given and the height is given and the hypertonicity to calculate that will be there for the distance for fly that's the actual procedure to do that sum so it will be Root over 28 square + 33square and its answer with will give you around 43 approx