integral calculus: Volume flow rate in hemispherical bowl

sir pwede paki exaplain saan galing values nung "y"? thanks po :)
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From the table:
Link: http://www.mathalino.com/node/1943
From the table:
X column = distance from the x-axis in the figure
Y column = area of the section of the sphere at distance x from the bottom
how to use cal tech for this
how to use cal tech for this one sir..
work problem po ito, how to deal with this sir?