#1.(a) Use cylindrical coordinates to write down inequalities describing the solid inside the spherex2+y2+z2=2 and above the cone where z0.(b) Using cylindrical coordinates set upan integral for the volume of the solid. Evaluate it.#2.(a) Use spherical coordinates to write down inequalities describing the solid inside the spherex2+y2+z2=2 and above the cone where z0.(b) Using spherical coordinates set upan integral for the volume of the solid. Evaluate it.#3.(a) Use cylindrical coordinates to write down inequalities describing the solid inside the spherex2+y2+z2=2, above the xy-plane and below the cone where z0.(b) Use cylindrical coordinates to only set upan integral (or integrals) for the volume of the solid.(c) Use spherical coordinates to write down inequalities describing the same solid.(d) Use spherical coordinates to only set upan integral (or integrals) for the volume of the solid.(e) Using either cylindrical or spherical coordinates, find the volume (evaluatean integral).#4. Find (a) the mass and (b) center of mass of a lamina that occupies the region Din the planebounded byy=4-x2 and y=0 with density (x,y)=12y.#5.(a) Write down inequalities for x,y,zto describe the solid E under the plane x+y-z=-1 andabove the region in the xy-plane bounded by the curves y=x2,y=0, and x=1.(b) Evaluate E30xydV.#6. A lamina occupies the planar triangular region D enclosed by the lines y=2x,x+2y=5, andy=0, with density (x,y)=6x. Find the following moments of inertia: (a)Ix,(b)Iy,(c)I0.