Find the volume of $G$ area which its upper bound is$u(x, \, y) = 16 + x^2$ , lower bound is $v(x, \, y) = 4 x +7 y$ , and side bound $x^2 + y^2 =1$.

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Find the volume of $G$ area which it's upper bound is $u(x, \, y) = 16 + x^2$ , lower bound is $v(x, \, y) = 4 x + 7 y$ , and side bound $x^2 + y^2 =1$.

I denote $h(x,y) = x^2 + y^2 -1$.

I draw this in geogebra I think the black line is the required volume but I don't know how to approach this problem ,any help please , thanks !

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