A small solid sphere of mass M 0 , of radius R 0 , and of uniform density %u03C1

Question

A small solid sphere of mass M0, of radius R0, and of uniform density %u03C10 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.

Options are R,F,U, R or U, F or U, R or F or U

The new sphere has density %u03C1 = %u03C10 and mass M > M0
RFUR or UF or UR or F or U The new sphere has radius R = R0 and mass M > M0
RFUR or UF or UR or F or U The new sphere has mass M < M0 and density %u03C1 = %u03C10
RFUR or UF or UR or F or U The new sphere has density %u03C1 > %u03C10 and radius R < R0
RFUR or UF or UR or F or U The new sphere has mass M = M0 and radius R < R0
RFUR or UF or UR or F or U The new sphere has density %u03C1 < %u03C10 and mass M = M0

Explanation / Answer

R

F

R F U HERE THE VARIABLE TO BE CONSIDERED IS MASS IF MORE MASS MORE WATER   

IS DISPLACED EQUAL UNCHANGED LESS MASS FALLS

U

U

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