Samantha had 11/12 of a cup of sugar. She used 5/12 of a cup of sugar to bake muffins. How much sugar, in cups, does Samantha ha
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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