## Question

###### Let D be the region in space where y 2 0 0 < ? < 3 and 2 2 12 +y?_ Hints: D is half_ cone balanced on its point at (0,0,0) , with height 3 and radius 3. The angle that the curved sides of D make with the positive z-axis is T/4.points) Write an iterated integral for the volume of D using rectangular ordinates_ with the innermost integral with respect to and the second integral with respect to y. Do not evaluate the integral.points) Write an iterated integral for the volume of D using cylind

Let D be the region in space where y 2 0 0 < ? < 3 and 2 2 12 +y?_ Hints: D is half_ cone balanced on its point at (0,0,0) , with height 3 and radius 3. The angle that the curved sides of D make with the positive z-axis is T/4. points) Write an iterated integral for the volume of D using rectangular ordinates_ with the innermost integral with respect to and the second integral with respect to y. Do not evaluate the integral. points) Write an iterated integral for the volume of D using cylindrical cOor- dinates_ Do not evaluate the integral. points) Write an iterated integral for the volume of D using spherical coordi- nates_ Do not evaluate the integral:

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