4. Consider a partial cone T given by r + y < (2-2), 0 z <...

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4. Consider a partial cone T given by r + y < (2-2), 0 z < 1. Determine the volume of T by using the divergence theorem with SSSA divF dV = F.ndA F = [0,0,2] = zk Hint: The following procedure may be helpful. (i) Sketch T and three parts of its surface S. (ii) Determine the outer unit normal vector n of each part of S. (iii) Determine the orthogonal projection of each part of S in the xy-plane. (iv) Evaluate the surface integral ffs F.ndA. 4. Consider a partial cone T given by r + y < (2-2), 0 z < 1. Determine the volume of T by using the divergence theorem with SSSA divF dV = F.ndA F = [0,0,2] = zk Hint: The following procedure may be helpful. (i) Sketch T and three parts of its surface S. (ii) Determine the outer unit normal vector n of each part of S. (iii) Determine the orthogonal projection of each part of S in the xy-plane. (iv) Evaluate the surface integral ffs F.ndA.