Rob draws 16 cards from a standard deck of 52. The deck is made up of equal numbers of four suits- clubs, diamonds, hearts, and
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See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius 
and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given , i.e. 
.
The volume is then
The volume is then