What Is the Density of a Sphere Submerged in Water?

[05holtel]

Homework Statement

A sphere completely submerged in water is tethered to the bottom with a string.?
The tension in the string is one-third the weight of the sphere. What is the density of the sphere?

Homework Equations

The Attempt at a Solution

Fnet = 0 = Fb-T- mg

T=(Density of water x Volume of water x gravity) - (density of sphere x Volume of sphere x gravity)

T= (denisty of water - density of sphere) (Volume of object)(Gravity)

where volume of water = volume of sphere is completely submeged object

Not sure what to do now

Please help

 

[Doc Al]

The Attempt at a Solution

Fnet = 0 = Fb-T- mg

You are told what T is, so substitute what T is into that equation.

What's the buoyant force equal?

Hint: You want to rearrange the equation to solve for density, which is m/V.