00:01
A plastic sphere floats on water with 50 % of its volume submerged, while 40 % of its total volume is submerged when it floats on glycerine.
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We are to determine the density of the sphere and the density of the glycerine.
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And we will answer the questions by using the principle of flotation, which tells us that the ratio of the density of the solid floating object to the density of the fluid is equivalent to the submerged.
00:30
Part of the solid object.
00:33
So with that, we can easily determine the density of the sphere here, using the density of water, which is 1 ,000 kilograms per cubic meter.
00:44
Okay, therefore, we have the density of the sphere.
00:48
Okay, let's move this higher.
00:50
Divided by the density of the water will give us the submerge part.
00:57
So this is just simple algebraic manipulation.
01:00
We have the submerged part here in fraction or decimal times the density of water.
01:09
So 50 % in decimal, that would be 0 .5 or 0 .50 times a thousand.
01:16
So you can easily see that the density of the plastic sphere is just half...