Question

Please help!! (Stumped!)

Answer 1

A solid cylinder (radius = 0.180 m, height = 0.170 m) has a mass of 16.9 kg. This cylinder is floating in water. Then oil (ρ = 702 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder is in the oil?

Answer 2

@IrishBoy123 Any chance you can help with this one :) !

Answer 3

sure but you need to show the drawing..... :p

Answer 4

the solution will require the knowledge that the mass of all fluid(s) displaced by the floating body will equal the mass of the cylinder, ie 16.9kg,

ie Archimedes Law:

"a floating body displaces it's own mass of the fluid in which it floats"

Answer 5

Here's the diagram :)

Answer 6

http://openstudy.com/users/irishboy123#/updates/565c8149e4b0959c2b14cffe

take it from there?

Answer 7

Thank a lot! For some reason I got the wrong answer though. I used your wolfram formula as a guide - and this is what I got with my numbers.
but it was incorrect

Answer 8

this any better?!?!

http://www.wolframalpha.com/input/?i=%2816.9+-+1000*pi*0.18%5E2%280.17%29%29%2F%28pi*0.18%5E2+*+%28720-1000%29%29

Answer 9

That number seems rather small.. only 1.417%
It may be correct! I am unsure.
I am wary of entering it into my assignment, as it is my last attempt for credit

Answer 10

@mathstudent55 @dan815 Can you guys take a look at this thread?

Answer 11

according to archimedes principle bouyant force = weight of fluid displaced

Answer 12

oil will exert a downward force and water will exert an upward force,
so we need to balance forces,

weight of displaced oil + weight of cylinder = weight of water displaced