# Math Help - Volume of a solid

1. ## Volume of a solid

Find the volume of the solid in the first octant that is bounded by the plane y+ z = 4, and the cylander y = x^2, and the xy and yz planes.

Should I do dydx or dxdy? I am not sure about the regions.

$
D = {(x,y) | ? <= y <= x^2, ? <= x <= y^\frac{1}{2} } ????
$

$
\int\int 4 - y
$

2. Let's try this assuming you are using double integration:

$\int_{0}^{2}\int_{0}^{x^{2}}(4-y)dydx=\frac{112}{15}$