Hi, for this question can we not take
r=5
h=12
Area= 300 Pi?
Wouldn’t this be the greatest area?
No. Notice that you don’t have squares, so even if you turn the cylinder so that the base is the 10x8 part, the radius is restricted to 4.
You have to try turning it in different directions to see what gets the biggest volume, but note what @Leaderboard said about the radius becoming restricted.
