A small solid sphere of mass M0 of radius R0 and of uniform

A small solid sphere of mass M0, of radius R0, and of uniform density 0 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. Read it to me The new sphere has mass M = M0 and density > 0 The new sphere has radius R > R0 and mass M = M0 The new sphere has radius R = R0 and density < 0 The new sphere has density = 0 and mass M < M0 The new sphere has density < 0 and radius R > R0 The new sphere has density = 0 and mass M > M0

Solution

for the first case water level rises because increase of density.because density increases it dipped into water.remaining cases no changes in the water level because with out increase in density water level does not increase and independent of mass and radius individually.for second case also it floats on water because radius increases volume increases finally density decreases(mass/volume).