A small solid sphere of mass M 0 , of radius R 0 , and of uniform density 0 is p

Question

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.
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The options for the following are:  Rise, Fall, Unchanged, Rise or Unchange, Fall or Unchange, Rise or Fall or Unchange
The new sphere has density > 0 and radius R < R0
The new sphere has radius R > R0 and density = 0
The new sphere has radius R = R0 and mass M > M0
The new sphere has radius R < R0 and mass M = M0
The new sphere has mass M = M0 and density < 0
The new sphere has density = 0 and radius R < R0

Explanation / Answer

part a) Rise or Fall or Unchange

density is increasing but radius is decreasing so mass unchanged ( not sure basically we do not know in what proportioan radius increasing or decreaisng , all three option possible )

b )

Rise

mass is increaisng

c )

rise

d )

unchange

mass is not changing

e )

unchage

f )

fall

size is decreaisng mass is also decrease

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