The Ecphorizer


This chapter presents another mathematics problem in rhyme from my greatgrandfather's work book: I placed a bowl into the storm,
To catch the drops of rain  A half a globe was just its form, Two feet across the same; The storm was o'er, the tempest past, I to the bowl repaired  Six inches deep the water stood, It being measured fair; Suppose a cylinder, whose base Two feet across within, Had stood exactly in that place, What would the depth have been? I have not attempted to analyze the solution, as I am not up on computing the cubic contents of globes. (I do remember that the area of a circle is πr^{2}, so I could figure the cubic content of a cylinder. I see that he has taken the diameter squared times 1/4 of π, which produces the same result for the area of the cylinder.) His answer is 2.5 inches, which I am confident is correct. 

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