SOLUTION: A cylindrical tin has an internal diameter of 18cm. It contains water to a height of 13.2m when a heavy spherical metal ball is immersed in it, what is the new height of the water

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Question 1065111: A cylindrical tin has an internal diameter of 18cm. It contains water to a height of 13.2m when a heavy spherical metal ball is immersed in it, what is the new height of the water level



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cylindrical tin has an internal diameter of 18cm.
It contains water to a height of 13.2m when a heavy spherical metal ball is immersed in it, what is the new height of the water level
:
Assuming the ball diameter is the same as the cylinder diameter
The radius of the ball and the cylinder = 9 cm
:
Find the volume of the water
V = pi%2A9%5E2%2A13.2
V = 3359 cu/cm
:
Find the volume of the sphere
v = 4%2F3pi%2A9%5E3
v = 3053.63 cu/cm
This amt of water will be displaced when the ball is submerged
therefore: 3359 + 3053.63 = 6412.62 Cu/cm is the occupied volume
:
Let h = the height of water when the ball is submerged
pi%2A9%5E2%2Ah = 6412.62
254.47h = 6412.62
h = 6412.62%2F254.47
h = 25.2 cm is the new height of the water