4. Consider the solid region that lies above the paraboloid

z = x² + y² and below the plane z = 4.

a) If a triple integral is used to compute the volume of this

solid, which coordinate system would produce the simplest

integral?

[A] Rectangular

[B] Cylindrical

[C] Spherical

b) Set up an integral that will yield the volume of the solid.

c) Evaluate your integral.

-2

-1

pazazaza

2 y

1

--1

-2

pagpapang

X 2