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\noindent {\bf Problem statement} Water is pumped into a spherical
tank of radius 5 ft from a source located 2 ft below a hole at the
bottom (figure to the right).  The density of water is 64.2 lb/ft$^3$.

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\noindent a) Calculate the work required to fill the tank.

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\noindent b) Calculate the work $F(h)$ required to fill the tank to a
height $h$ ft from the bottom of the sphere.

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\noindent c) Graph the function $F(h)$ for $0\le h\le 10$.

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}

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\rightline{(\sevenrm From problems \#41 and \#42 of the Chapter Review
Exercises in Chapter 6 of the text.)  }












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