Convert the integral to rectangular coordinates with the

Question

Given ₀∫^2π ₀∫^√2 _r∫^{√(4-r^2)} 3 dz r dr dθ, r ≥ 0

a. Sketch the solid. Identify the surfaces that enclose the solid.

b. Convert the integral to rectangular coordinates with the order of integration dz dx dy.

c. Convert the integral to spherical coordinates.

d. Evaluate one of the integrals.