Three Vessels - Solution

The Puzzle: There are three different color cylindrical vessels: Blue, Red, and Green, with the sizes, as shown. The Red vessel is put into the Blue one, and the Green vessel into the Red one as shown. Each vessel is full of water. The object is to determine which vessel contains the biggest quantity of water? You can ignore the thickness of the walls of the vessels. Author: Peter Grabarchuk This Puzzle © 2008 Peter Grabarchuk. All Rights Reserved. More from Peter Grabarchuk at PeterPuzzle.com

The Solution . . .

Radius of green vessel = 4/2 = 2; Radius of red vessel = 6/2 = 3; Radius of blue vessel = 8/2 = 4; Volume of green vessel = Pi × 4 × 5 = 20π; Volume of red vessel = Pi × 9 × 4 = 36π; Volume of blue vessel = Pi × 16 × 3 = 48π; Volume of water in green vessel = 20×Pi; Volume of water in red vessel = Volume of red vessel - 4/5 × Volume of green vessel = 36×Pi - 16×Pi = 20×Pi; Volume of water in blue vessel = Volume of blue vessel - 3/4 × Volume of red vessel = 48×Pi - 27×Pi = 21×Pi; Thus, the Blue Vessel contains the biggest quantity of water. Author: Peter Grabarchuk This Puzzle © 2008 Peter Grabarchuk. All Rights Reserved.

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