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(Solved): Let a be a positive number. The region between the curves y=x^(2) and y=2a^(2)-x^(2) is the base of ...
Let
abe a positive number. The region between the curves
y=x^(2)and
y=2a^(2)-x^(2)is the base of a solid (see diagram). Its cross sections, perpendicular to the
x-axis are squares with one side in the base.. If the volume of the solid is
(2)/(15)~~0.13, what is the value of
a? Show and explain your work.
