Question: Use the divergence theorem, assuming that the assumptions on T and S are satisfied. Using the third expression for v in Prob. 7, V =

Use the divergence theorem, assuming that the assumptions on T and S are satisfied.

Using the third expression for v in Prob. 7, V = πα2 h/3 verify for the volume of a circular cone of height h and radius of base α.

Data from Prob. 7

Show that a region T with boundary surface S has the volume

SSxdy dz = [fv&zd z dx dy (x dy dz + y dz dx + z dx dy).

SSxdy dz = [fv&zd z dx dy (x dy dz + y dz dx + z dx dy).

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