SOLUTION: A cylindrical container of height 28cm and diameter 18cm is filled with water. The water is then poured into another container with a rectangular base of length 27cm and width 11cm

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Question 1175249: A cylindrical container of height 28cm and diameter 18cm is filled with water. The water is then poured into another container with a rectangular base of length 27cm and width 11cm. Calculate the depth of the water in the container

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is     %283.14%2A9%5E2%2A28%29%2F%2827%2A27%29 = 9.769 cm   (rounded).         


The numerator is the volume of the water in the cylinder.


The denominator is the area of the base to the other  (prismatic)  tank.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Volume of the cylinder: area of base, times height



Volume of rectangular box: area of base, time height

%28l%2Aw%29%28h%29+=+%2827%2A11%29%28h%29

The volume of water is the same in both containers:

%2881%29%2818%29%28pi%29+=+%2827%29%2811%29%28h%29

h+=+%28%2881%29%2818%29%28pi%29%29%2F%28%2827%29%2811%29%29

Simplify/evaluate/round as needed....