SOLUTION: A tank that is a right rectangular prism is 1m x 2m x 3m. Suppose the tank is exactly half full of water and then a heavy metal sphere of radius 30 cm is put into the tank. How hig

Question 234102: A tank that is a right rectangular prism is 1m x 2m x 3m. Suppose the tank is exactly half full of water and then a heavy metal sphere of radius 30 cm is put into the tank. How high is the water now if the height of the tank is 3m?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A tank that is a right rectangular prism is 1m x 2m x 3m. Suppose the tank is exactly half full of water and then a heavy metal sphere of radius 30 cm is put into the tank. How high is the water now if the height of the tank is 3m?
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The volume of water in the tank is the area of the bottom x depth of the water.
= 100*200 sq cm * depth
The volume of the sphere
= 4*pi*r^3/3 cc
= 113097 cc
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The tank is 1/2 full, then 113097 cc are added.
V1 = 100*200*150 cc = 3000000 cc
+ 113097 --> 3113097 cc
Depth = 3113097/20000
Depth = 155.65 cm

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