If we want to interpret the given integral as the moment of

Question

Consider the iterated triple integral

_y=-2∫² _x=0∫^{4-y^2} _z=0∫^y+23(y² + z²) dzdx, dy.

a. Write down an equivalent iterated triple integral in which the order of integrate is dzdydx.

b. Write down an equivalent iterated triple integral in which the order of integrate is dxdzdy.

c. If we want to interpret the given integral as the moment of inertia of a solid about some axis, what is the axis and what is the density of the solid?