Monday, 19 October 2015

The Giant Soup Problem

From google, I was able to get the dimension of the Campbell Soup which is,
Radius = 1  5/16 inches
Height = 4 inches

Thus their ratio is Radius: Height
                                       1 5/16 : 4
                                     21/16 : 4
                                          21: 64

Also, the radius from a real bicycle, is 100cm
And in the picture, the radius, is 5 cm

So if we have
                         100:5
                           20:1

Now from the picture, the diameter of tank is 6.5cm
Thus, its radius will be 6.5/2 = 3.25cm

In the picture, the length of the picture tank is 12.5 cm
Now using the ratio 20:1
We get the real dimension of the water tank
Radius = 3.25*20 = 65 cm
Height= 12.5 *20= 250cm

Thus volume = pi*r^2 *h
                      =3.14*65^2*250

                     = 3318307 centimeter cube

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