SOLUTION: A cylindrical container with radius 10 cm is filled with water to a height of 2 cm. The water is poured into a second cylindrical container with radius 4 cm. How high will the wate

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Question 917227: A cylindrical container with radius 10 cm is filled with water to a height of 2 cm. The water is poured into a second cylindrical container with radius 4 cm. How high will the water be in the second container?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h, the height of the water in the cylinder receiving the water from the first cylinder.

2%2Api%2A10%5E2=h%2Api%2A4%5E2

Just compare the volumes, since the volumes of the water are equal.
Solve for h;


h=%282%2A10%5E2%29%2F%284%5E2%29
h=%282%2A2%2A5%2A2%2A5%29%2F%282%2A2%2A2%2A2%29
h=25%2F2