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14 July, 05:50

A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is r = 4.4 ft, the height of the cylindrical portion is h = 9.8 ft, and the overall height is H = 18.5 ft?

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  1. 14 July, 09:20
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    770.7 ft^3.

    Explanation:

    Height of the cylinder + height of the cone = total height

    Height of the cone = 18.5 - 9.8

    = 8.7 m

    Volume of a cylinder = pi * r^2 * h

    = pi * 4.4^2 * 9.8

    = 596.05 ft^3

    Volume of a cone = 1/3 * pi * r^2 * h

    = 174.6 ft^3

    Volume of the bin = volume of cone + volume of cylinder

    = 174.6 + 596.05

    = 770.7 ft^3.
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