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## Homework Statement

A hollow plastic sphere is held below the surface of a fresh water lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.65 m^3 and the tension in the cord is 842 N. What is the mass of the sphere, in kg? Enter your answer using 3 decimal places, don't enter the units

## Homework Equations

[tex] \rho *V*g=F[/tex]

F=mg

## The Attempt at a Solution

because the system is in equilibrium

F tension + Force of gravity = Buoyant Force.

842N + (9.81m/s^2)m = (1000kg/m^3)(0.65m^3)(9.81m/s^2)

the answer turns out to be 564kg, unless i'm doing something really stupid.

but that seems to be really high for a hollow plastic sphere.