"Published in Newark, California, USA"
A cubic foot of water weighs about 62.4 lb. What must be the diameter of a cylindrical pail 1 ft. high in order for it to hold the water from 25 lb. of ice? How many square inches of sheet tin are required to make the pan? (Neglect waste in cutting and lapping.)
Solution:
To illustrate the problem, it is better to draw the figure as follows
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| Photo by Math Principles in Everyday Life |
Since the weight of water or ice as well as its density are given, then we can get the volume of water or ice as follows
The volume of water or ice is the same as the volume of a cylindrical pail. Therefore, the diameter of a cylindrical pail is
The total amount of tin sheet required to make a cylindrical pan is
