# Volume of Stone submerged in Water

A submerged stone weighs 254N, but out of the water it weighs 1235N. The density of the water is 1000 kg per cubic meter. What is the volume of the stone?

I understand that density=mass/volume but I don't know which numbers to plug in and I can't find help anywhere!!

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gneill
Mentor
A submerged stone weighs 254N, but out of the water it weighs 1235N. The density of the water is 1000 kg per cubic meter. What is the volume of the stone?

I understand that density=mass/volume but I don't know which numbers to plug in and I can't find help anywhere!!
Why does the stone weigh less when it's submerged in water? What does the weight difference represent?

Because of the buoyancy force??

i took the difference between the weights which is 981N, divided it by 98.1 and got 10, then divided it by 1000 and got .01 is that right?

gneill
Mentor
Because of the buoyancy force??
Yes, that's correct.
i took the difference between the weights which is 981N, divided it by 98.1 and got 10, then divided it by 1000 and got .01 is that right?
Why 98.1? What is 98.1?

The force of gravity to convert it from newtons to kilogram

gneill
Mentor
The force of gravity to convert it from newtons to kilogram
The acceleration due to gravity is 9.81 m/s2.

So should I not have used it as the conversion factor?

gneill
Mentor
So should I not have used it as the conversion factor?
Yes, you want to use the acceleration due to gravity in the conversion. But the value you employed was 10x to large. You used 98.1 rather than 9.81.

Sorry that's what I meant
So I on the right track?

gneill
Mentor
Sorry that's what I meant
So I on the right track?
Yes, you're on the right track.

Once you realized that the weight difference represents weight of the water displaced by the stone, you were on the right track to find the volume of the stone by finding the volume of that displaced water.

so how do i use the volume of the displaced water to find the volume of the stone?

gneill
Mentor
so how do i use the volume of the displaced water to find the volume of the stone?
Archimedes' principle of displacement -- the volume of water displaced by a submerged object is equal to the volume of the object...

oh ok so .01 cubic meters is the answer?

gneill
Mentor
oh ok so .01 cubic meters is the answer?
No, that's still off by a factor of 10. Did you fix your value of g?

with that fixed the answer comes out to .1 cubic meters correct?

gneill
Mentor
with that fixed the answer comes out to .1 cubic meters correct?
That looks better haha ok thanks!!