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Math Help - % of Total Capacity

  1. #1
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    % of Total Capacity

    A water storage tank has the shape of a cylinder with diameter 10 ft. It is mountain so that the circular cross-sections are vertical. If the depth of the water is 7 ft, what % of the total capacity is being used?
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  2. #2
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    Re: % of Total Capacity

    "It is mountain"? Oh! "mounted".

    You are told the height of the tank but not the radius. Okay, just call that "R". What is the volume of a cylinder with radius R and height 10?

    Finding the volume of the water is a little harder. You will need to integrate to find the area of a portion of a circle of radius R (> 7) up to a chord 7 ft above the base of the circle.
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