Monday, October 19, 2015

The giant soup can puzzle


I think everyone will have different points of measure so the answers we come up with will be different. I also noticed that the camera angle of this photo, the way the bike is positioned, and the partially buried portion of the water tank can alter the results. With that said, I estimate from this picture that the water tank's diameter is 2 times the bike's height. 
From a simple Google search result, "The dimensions of a typical bicycle are a handlebar height of 0.75 - 1.10 m". I will estimate that Susan's bike is 1 m, or 100 cm. Therefore, the diameter of the water tank is 100 cm × 2 = 200 cm, and the radius is 100 cm.
According to the other picture of the Campbell soup can and my own measurement of one at home, the ratio of the height of the soup can to the diameter is 1.51. For the water tank, the length can be determined by 200 cm × 1.51 = 302 cm.
The volume of the water tank is estimated to be (pi)×(radius^2)×(height)=pi×(100 cm)^2× (302 cm)=9488000 cm^3 = 9488000 ml = 9488 L.

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