A parabolic satellite dish is 2 m wide and 1 /2 m deep. Its axis of symmetry is tilted 30 degrees from the vertical. (i) (ii) (iii) (iv) a. Set up, but do not evaluate, a triple integral in...

A parabolic satellite dish is 2 m wide and 1 /2 m deep. Its axis of symmetry is tilted 30 degrees from the vertical. (i) (ii) (iii) (iv)

a. Set up, but do not evaluate, a triple integral in rectangular co-ordinates that gives the amount of water the satellite dish will hold. (Hint: Put your coordinate system so that the satellite dish is in “standard position” and the plane of the water level is slanted.) (Caution: The limits of integration are not “nice.”)

b. What would be the smallest tilt of the satellite dish so that it holds no water