SOLUTION: A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the top with water. The water filter sits above an empty cylindrical container which has a diamet

Algebra ->  Volume -> SOLUTION: A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the top with water. The water filter sits above an empty cylindrical container which has a diamet      Log On


   

Question 996154: A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the top with water. The water filter sits above an empty cylindrical container which has a diameter of 40cm. The water is allowed to flow from the water filter into the cylindrical container. When the water filter is empty find the height of the water in the cylindrical container.
I know i gotta find a volume of the cone, which i got +7200%28pi%29+ or +22619.5cm%5E3+
But i am completely stuck for the cylindrical part!
Please help! thank you!
Found 2 solutions by NeedHelpUrgently, Alan3354:
Answer by NeedHelpUrgently(2) About Me  (Show Source):
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A conical water filter has a diameter of 60cm and a depth of 24cm. It is filled to the top with water. The water filter sits above an empty cylindrical container which has a diameter of 40cm. The water is allowed to flow from the water filter into the cylindrical container. When the water filter is empty find the height of the water in the cylindrical container.
I know i gotta find a volume of the cone, which i got +7200%28pi%29+ or +22619.5cm%5E3+
But i am completely stuck for the cylindrical part!
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The volume of a cylinder = pi%2Ar%5E2%2Ah
It's the area of the base * height.
Vol+=+pi%2A20%5E2%2Ah+=+7200pi
h+=+7200pi%2F400pi+=+18 cm
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Any object of uniform cross-section has a volume of area*height.