embemilyy
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Find the mass of the solid bounded by the cylinder (x-1)2 + y2=1 and the cone z=(x2+y2) 1/2 if the density is (x2+y2) 1/2
I know that I have to substitute for cylindrical co-ordinates x=rcos(theta), y=rsin(theta), and z=z, and then use the change of variables formula to get the mass by integrating the density over the region. I'm just having a really hard time expressing the bounds of the region using cylindrical co-ordinates
for the cone, bounds are
0<theta<2pi
0<z<r
0<r<1?
I know that I have to substitute for cylindrical co-ordinates x=rcos(theta), y=rsin(theta), and z=z, and then use the change of variables formula to get the mass by integrating the density over the region. I'm just having a really hard time expressing the bounds of the region using cylindrical co-ordinates
for the cone, bounds are
0<theta<2pi
0<z<r
0<r<1?
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