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Cylinder volume problem Please Help!
Basically I've been attempting this question for at least 3 days now and it's driving me insane. The question goes like this - Consider the volume V inside a cylinder x^2 + y^2 = 4R^2 between z=(3x^2 + 2y^2)/R and the xy plane, xyz are cartesian and R is constant - Write down a triple integral using cylindrical co-ordinates for the volume V giving 3 upper and 3 lower limits
I first started by stating that r = 4R^2 The first limit (LHS to RHS) should surely be 0 to 2π the second should be from the origin to the radius i.e. 0 to 4R^2 and the third limit should be 0 to Z but I'm having a nightmare solving it or finding the right limits, any help would be greatly appreciated as I'm losing serious patience :( TIA.
Basically I've been attempting this question for at least 3 days now and it's driving me insane. The question goes like this - Consider the volume V inside a cylinder x^2 + y^2 = 4R^2 between z=(3x^2 + 2y^2)/R and the xy plane, xyz are cartesian and R is constant - Write down a triple integral using cylindrical co-ordinates for the volume V giving 3 upper and 3 lower limits
I first started by stating that r = 4R^2 The first limit (LHS to RHS) should surely be 0 to 2π the second should be from the origin to the radius i.e. 0 to 4R^2 and the third limit should be 0 to Z but I'm having a nightmare solving it or finding the right limits, any help would be greatly appreciated as I'm losing serious patience :( TIA.