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Why Would You Put a Hogshead in a Well?

The diameter of a cistern is 8 feet; what must be its height that it may contain 150 hogsheads?





NOTE: I stand corrected, thanks to C.A. (Burlington-Edison), in that a cistern is not a well (even though in olden times in Minnesota we considered them the same). A cistern is a small storage tank (often covered) used to store rain water for a home or farm. Despite this correction, the problem still stands......though you will have to look up what a hogshead is!

Solution:

Source: John Wade's The Mathematical Velocipede, 1869, p. 89