PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Calculus

The volume of the cylindrical column standing on the area common to the parabolas y2 = x, x2 = y and cut off by the surface z = 12 + y - x2 is:

1
\(\frac{569}{280}\)
2
\(\frac{569}{140}\)
3
\(\frac{569}{210}\)
4
\(\frac{569}{70}\)
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