15. A spherical fish tank with a radius of 1 ft is filled with water to a level of 6 in below the top of the tank. a) Use calculus and spherical coordinates to determine the exact volume of water in the fish tank. b) Determine the weight of the water in the tank (assume the weight density of water is constant at 62.5 lb/ft³) c) How much additional water must be added to completely fill the tank?
15. A spherical fish tank with a radius of 1 ft is filled with water to a level of 6 in below the top of the tank. a) Use calculus and spherical coordinates to determine the exact volume of water in the fish tank. b) Determine the weight of the water in the tank (assume the weight density of water is constant at 62.5 lb/ft³) c) How much additional water must be added to completely fill the tank?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 35E: The spherical storage tank described in Example 5 had a length of radius of 3ft. Because the tank...
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