Alicia's goal is to have $30 in her account. She starts with $24.50 from washing cars. She spends 8.25 at the movies. Then she e
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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