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Water level involving Density, mass, volume, radius

  1. Jun 16, 2016 #1
    1. The problem statement, all variables and given/known data
    A small solid sphere of mass M0, of radius R0, and of uniform density ρ0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.

    1. The new sphere has density ρ > ρ0 and radius R < R0
    2. The new sphere has mass M > M0 and density ρ = ρ0
    3. The new sphere has density ρ = ρ0 and mass M < M0
    4. The new sphere has radius R = R0 and mass M < M0
    5. The new sphere has density ρ < ρ0 and mass M = M0
    6. The new sphere has mass M = M0 and density ρ > ρ0

    2. Relevant equations
    d=m/v, Fb=pgv

    3. The attempt at a solution
    1. R or F or U
    2. R or U
    3. F
    4. F
    5. U
    6. F or U


    really struggling with this problem, have tried multiple attempts, really just want to understand this problem and what I did wrong. Thanks
     
  2. jcsd
  3. Jun 16, 2016 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Welcome to PF!

    Can you explain your reasoning for #2?
     
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