A certain rectangular crate measures 8 feet by 10 feet by 12 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
The answer is given = 5.
But what is the problem with radius 6. If we guess 6 is the radius then, the rectangle of the edge 8 or 10 could fit. I think, i have misunderstand the question.