4.consider the solid bounded by the cylinder x^2+y^2=1, the cone z=square root (x^2+y^2), and the xy plane. suppose the density at each point (x,y,z) of the solid is given by f(x,y,z)=z.
a) use the cylinder coordinates to find the mass of the solid.
b) use spherical coordinates to find the mass of the solid.
c) find the center of mass of the solid.
f(x, y, z)dxdyll ayz)dydzdr f(x,y,z)dxdzdy 0 Consider the solid bounded by the cylinder x2 +y-1, the cone z = V r2+y2, and the y-plane. Suppose the density at each point (x,y,z) of the solid is given by f(x,y,z) = z. a) Use cylindrical coordinates to find the mass of the solid. b) Use spherical coordinates to find the mass of the solid. c) Find the center of mass of the solid. 2
