I'm trying to finish a math project that's due in a few hours. I really stuck on a key aspect of it. It is called "Bowl Lake". Its called that because it geometrically can be viewed as having a bottom contour that resembles a portion of a sphere. The lake is 35 ft deep at its deepest point(the center) and 1/4 mile across(1320 feet).
My big problem is finding the volume of the lake. I can't seem to find the equation for the integral or figure out the dimensions of the sphere that this lake is a part of. Was hoping someone could give me a hint or something. Thanks alot.