Evaluate the triple integral where is the solid bounded by the paraboloid and .
Can someone help me on the setup, Thank you so much!
hopefully you know what the volume looks like... it's 'bowl' shaped.
integrate 1 over y and z first, i.e. integrate over the circle x = 8x^2 + 8y^2, where x is fixed. can you do this? then integrate these elements (which are functions of x) * x over x between 0 and 8...
to make thing simpler, use cylindrical coordinates.