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Math Help - Volume of a tank

  1. #1
    HMV
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    Volume of a tank

    A chemistry student in lab needs to fill a temperature-control tank with water. The tank measures long by wide by deep.
    In addition, as shown in the sketch below, the student needs to allow between the top of the tank and the top of the water, and a round-bottom flask with a diameter of will be just barely submerged in the water. Calculate the volume of water in liters which the student needs.

    Last edited by HMV; August 26th 2009 at 09:16 PM.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by HMV View Post
    A chemistry student in lab needs to fill a temperature-control tank with water. The tank measures long by wide by deep.
    In addition, as shown in the sketch below, the student needs to allow between the top of the tank and the top of the water, and a round-bottom flask with a diameter of will be just barely submerged in the water. Calculate the volume of water in liters which the student needs.
    where is the sketch? attach the file please
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  3. #3
    Member eXist's Avatar
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    Take the total volume of the container - volume of the flask - the volume of the top portion with no water.

    That boils down to:
    Volume of total tank =  30 * 13 * 11 = 4290 cm^3
    Volume of flask = \frac{4}{3}\pi r^3 = \frac{4}{3}\pi 4.25^3
    Volume of open top =  30 * 13 * 2 = 780
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