SOLUTION: A tall cylindrical container 6 cm in diameter contains some water. Nine steel spheres of diameter 4 cm are put into the water. If all the spheres are under water, and no water over

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Question 1201413: A tall cylindrical container 6 cm in diameter contains some water. Nine steel spheres of diameter 4 cm are put into the water. If all the spheres are under water, and no water overflows from the container, then the rise in water level, in cm, is
a) 85 1/3 b) 21 1/3 c) 10 2/3 d) 9 e) 2 2/3
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Radius of the cylinder, 3 cm.
Radois of the nine spheres, 2 cm. each

volume of the spheres, 9%2A%284%2F3%29pi%2A2%5E3=9%2A8%284%2F3%29pi

h, for vertical length change in the cylinder volume when the
spheres are put in,
h%2Api%2A3%5E2=9%2A8%284%2F3%29pi
h%2A9=8%2A9%284%2F3%29
h=8%284%2F3%29
h=32%2F3=10%262%2F3

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

The rise of water level does correspond to the volume of 9 submerged spheres.

It is one of the form of the Archimedes law.


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To see many other similar  (and different)  solved problems,  look into the lesson
    - Water level rise in a tank after submerging bodies
in this site.

It is really interesting reading.   Learn the subject from there.