Could anyone please tell me where does the 2 at the start of the triple integral

Question

Could anyone please tell me where does the 2 at the start of the triple integral come from (final part of step 5)? Thank you in advance!

We need to find the volume of the solid under the surface z = xy, above the xy plane, and within the cylindery 2x Comment Step 2 of 8 We know that the volume of a region is given by (x,y,z)dV III f (xy, jd's C 2nrcose, rsin. jr @,dr d Now, we know that s(r, Comment Step 3 of 8 A The equation of the sphere is given by y2x Replace x with r cos and y with r sin in the equation. r. (cos20+ sin, )-2rcos = 0 r(r-2cos )-0 Comment Step 4 of 8 We get the limits for ras (0,2cos) Substitute the known values in z = xy

Explanation / Answer

It is incorrect. 2 represent f(x,y,z) which may be density function to calculate mass within that volume. But this question does not mentioned anything like that. Its incorrect. Thank you

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