a spherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuring 4 ft in

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a spherical storage tank has a diameter of 24 ft and is full of water. how many delivery trucks with a cylindrical tanks measuring 4 ft in diameter and 10 ft long can be completely filled from the storage tank?

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    2021-09-10T03:25:50+00:00

    Diameter of the spherical storage tank = 24 ft

    So, radius of the tank = \frac{24}{2}=12 ft

    Volume of the spherical tank = 4/3 * PI * r³

    = \frac{4}{3}\times3.14\times12\times12\times12

    = 7234.56 cubic feet

    Diameter of cylindrical tank = 4 ft

    So, radius = \frac{4}{2}=2 ft

    Height of cylindrical tank = 10 ft

    Volume of cylindrical tank = PI * r² * h

    = 3.14\times2\times2\times10=125.60 cubic feet

    So, the number of cylindrical tanks that can be filled from the spherical tank are =

    \frac{7234.56}{125.60}=57.6

    Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.

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