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The solid is a triangular column with a slanted top. The base is the triangle in...

  1. The solid is a triangular column with a slanted top. The base is the triangle in the xy-plane with sides x=0 , y=0 , and y=4-3x . The top is the plane x+y-z=-2
  2. The solid is formed by the paraboloid f(x,y)= x2+y2-4 and the xy-plane. (Note that the paraboloid makes a circle as it intersects the plane—this will become important next week
  3. The same solid as the previous problem except now the paraboloid is bounded above by the plane z = 21.

Draw a picture of the solids and set up the double integral to find the volume of each solid (You do not have to evaluate the integrals).

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