A solid sphere of a certain material is observed to float in a tank of water with 1/8 of it exposed. Find a value for the density of the material. Now a string is tied between the sphere and the bottom of the tank such that the sphere is held completely submerged. In terms of the weight of the sphere, what is the tension in the string?

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A solid sphere of a certain material is observed to float in a tank of water with 1/8 of it exposed. Find a value for the density of the material. Now a string is tied between the sphere and the bottom of the tank such that the sphere is held completely submerged. In terms of the weight of the sphere, what is the tension in the string?

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