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    briddle's Avatar
    briddle Posts: 4, Reputation: 1
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    #1

    Sep 27, 2010, 11:35 AM
    Express Volume of a Silo in Terms of Radius
    A silo is in the shape of a right circular cylinder with a hemispherical cap has a volume of 935ft^3 and a total height of 25ft.

    Determine the radius of the silo.

    Also, write a function for the volume of the silo in terms of its radius.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Sep 27, 2010, 12:09 PM

    All you need do here is add together the formulas for the volume of a cylinder or radius R and height H plus half the volume of a sphere of radius R and set it equal to 935 ft^3. Then form a second equation that adds the height of the cylinder H to the radius of the top cap R and sets that equal to 25 ft. You now have two equations in two unknowns, and can solve for R.
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