SOLUTION: A cylindrical tank 4.92 m. in diameter is placed with its axis vertical and is partially filled with water. A spherical diving bell is then completely immersed in the tank, causing

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Question 903160: A cylindrical tank 4.92 m. in diameter is placed with its axis vertical and is partially filled with water. A spherical diving bell is then completely immersed in the tank, causing the water level to rise 1.00 m. what is the diameter of the diving bell?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A cylindrical tank 4.92 m. in diameter is placed with its axis vertical and is partially filled with water.
A spherical diving bell is then completely immersed in the tank, causing the water level to rise 1.00 m.
what is the diameter of the diving bell?
:
let r = the radius of the diving bell
:
Find the volume of water required to raise the level in the cylinder 1 meter
V+=+pi%2A4.92%5E2%2A1
V = 76.04665 cu/m
:
Find the radius of sphere that has a volume of 76.04665
4%2F3*pi%2Ar%5E3 = 76.04665
multiply both sides by 3
4%2Api%2Ar%5E3 = 228.14
r%5E3 = 228.14%2F%284%2Api%29
r^3 = 18.154
find the cube root of both sides
r = 3sqrt%2818.154%29
r = 2.63 m, the radius of the sphere