Find the volume of of the wedge shaped solid that lies above the xy plane, below the $z=x$ plane and within the cylinder $x^2+y^2 = 4$.
I'm having serious trouble picturing this. I think the z bounds are [0,x], but can't figure out any of the other ones.
Best Answer
looks like this should be the required vol $$2\int_{0}^{\pi/2} \int_{0}^{2} \int_{0}^{rcos\theta} rdzdrd\theta $$