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22 October, 14:17

A grain silo is shown below:grain silo formed by cylinder with radius 5 feet and height 175 feet and a half sphere on the topwhat is the volume of grain that could completely fill this silo, rounded to the nearest whole number? use 22 over 7 for pi.

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  1. 22 October, 15:29
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    Find the volume of the bottom and top separately and then add them.

    Cylinder volume is the area of the bottom times the height

    (22/7) (5^2) •175=13750 ft^3

    The volume of a sphere is

    V = (4/3) (22/7) r^3

    where r is the radius. Here that's also 5 since it fits on the cylinder.

    Also we only want half the sphere so use

    V = (2/3) (22/7) •5^3=261.9 ft^3

    Which we round upto 262.

    Now add the parts together

    13750+262=14,012 ft^3
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