Question on triple integral polar

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yopy
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Find the mass of a solid bounded by
x = (4-y2)1/2
y = 0
z = 0
z = 1 + x
with density = y

i understand how to set it upand transform to polar and how to do it but my teacher said its supposed to be -pi/2 to pi/2 for the integral with respect to theta. shouldn't it be 0 to pi/2 because its bounded by y = 0?
 
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Maybe "y=0" should be "x=0"? The given equations don't seem to make sense without x=0 being included.