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Evaluate the triple integral http://hosted.webwork.rochester.edu/...9376e96711.png where http://hosted.webwork.rochester.edu/...be058d0311.png is the solid bounded by the paraboloid http://hosted.webwork.rochester.edu/...adf63aef01.png and http://hosted.webwork.rochester.edu/...655a5ac7d1.png.
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.
I know how to integrate but I don't know how to setup the limits of integrations
The solid has circular cross sections in the planes defined byQuote:
Originally Posted by jffyx
of radius
, and so of area
, so our integral becomes:
CB