SOLUTION: If the region bounded by curves y¹ = x and y² = x² in the first quadrant of the xy-plan is rotated about y-axis. Find the volume of resulting solid of the revolution?

Question 1181067: If the region bounded by curves y¹ = x and y² = x² in the first quadrant of the xy-plan is rotated about y-axis. Find the volume of resulting solid of the revolution?
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!

I don't think you meant to use superscripts for the two y's because you
can't tell the difference between superscripts to indicate which function
from superscripts to indicate exponents.

If the region bounded by curves y_top = x and y_bottom = x² in the first quadrant of
the xy-plan is rotated about y-axis. Find the volume of resulting solid of
the revolution?

Using the cylindrical shell method:



















Edwin

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