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let ohm be the solid bounded from below by the cone z=sqrt(3(x^2+y^2)), and bounded above by the plane z=1. Using cylindrical coordinates, calculate the volume of the solid ohm.
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.