SOLUTION: a sphere of diameter 25 cm is half-full with acid, all of which is drained in a tall cylindrical beaker 16 cm in diameter. what is the depth of acid in the beaker.

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Question 451096: a sphere of diameter 25 cm is half-full with acid, all of which is drained in a tall cylindrical beaker 16 cm in diameter. what is the depth of acid in the beaker.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1/2 the sphere's volume is 2%2Api%2Ar%5E3%2F3+=+2%2Api%2A12.5%5E3%2F3 cc
The volume of the cylinder is pi%2Ar%5E2%2Ah+=+pi%2A64h
64%2Api%2Ah+=+2%2Api%2A12.5%5E3%2F3
h+=+2%2A12.5%5E3%2F%283%2A64%29