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Mathematics 14 Online
OpenStudy (anonymous):

We have a tank with water in it. The tank is an ellipse 9 feet wide, 5 feet tall, and 16 feet long. The area of this is obviously (16 x 4.5 x 2.5)pi. However, I need to find the volume of water if the level of water is only three feet high. What is the volume?

OpenStudy (amistre64):

would you be able to double integrate it?

OpenStudy (anonymous):

Maybe? How would I do that?

OpenStudy (amistre64):

you express the tank in terms of xy and z such that it creates a 3d mathematical model

OpenStudy (amistre64):

|dw:1317248780113:dw|

OpenStudy (amistre64):

x^2/20.25 + y^2/6.25+z^2/64 = 1 maybe http://www.wolframalpha.com/input/?i=x^2%2F20.25+%2B+y^2%2F6.25%2Bz^2%2F64+%3D+1

OpenStudy (anonymous):

The tank is cylindrical. The ellipse is a cross section through out the entire tank.

OpenStudy (amistre64):

|dw:1317249121527:dw|

OpenStudy (amistre64):

|dw:1317249209413:dw|

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