There are 24 pieces of fruit in a bowl and 6 of them are oranges. What percentage of the pieces of fruit in the bowl are oranges
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In Cartesian coordinates, the region is given by 
, 
, and 
. Converting to cylindrical coordinates, using
we get a Jacobian determinant of
, and the region is given in cylindrical coordinates by 
, 
, and 
.
The volume is then
we get a Jacobian determinant of
The volume is then