SOLUTION: two cylindrical jars, A and B, have diameters 2X cm and 5X cm respectively , initially, B is empty and A contains water to depth of 20 cm .if all the water in A is poured into B, f

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Question 331235: two cylindrical jars, A and B, have diameters 2X cm and 5X cm respectively , initially, B is empty and A contains water to depth of 20 cm .if all the water in A is poured into B, find the height of the water in jar B.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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two cylindrical jars, A and B, have diameters 2X cm and 5X cm respectively,
initially, B is empty and A contains water to depth of 20 cm.
If all the water in A is poured into B, find the height of the water in jar B.
:
Change the diameters to radii, x and 2.5x
:
Let h = depth of water in B
;
The volume remains the same, write a volume equation
B vol = A vol
pi%2A%282.5x%29%5E2%2Ah = pi%2Ax%5E2%2A20
pi%2A6.25x%5E2%2Ah = pi%2Ax%5E2%2A20
divide both sides by pi%2Ax%5E2, results:
6.25h = 20
h = 20%2F6.25
h = 3.2 cm is the depth in B