Theory and ExamplesWater in a satellite dish A parabolic
Chapter 15, Problem 26AAE(choose chapter or problem)
Problem 26AAE
Theory and Examples
Water in a satellite dish A parabolic satellite dish is 2 m wide and 1/2 m deep. Its axis of symmetry is tilted 30 degrees from the vertical.
a. Set up, but do not evaluate, a triple integral in rectangular coordinates 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?
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