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31 July, 08:05

A storage tank holds 115,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 3.5 in.

What is the height of the cylindrical containers? Use 3.14 to approximate pi and express the answer as a whole number

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  1. 31 July, 08:18
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    The answer is 120.1 in

    The volume of the cylinder (V1) is

    V1 = π · r² · h (r - radius, h - height)

    The volume of the storage tank (V) is the volume of 25 cylindrical containers:

    V = 25 · V1 = 25 · π · r² · h

    It is known:

    V = 115500 in³

    π = 3.14

    r = 3.5 in

    h = ?

    V = 25 · π · r² · h

    ⇒ 115500 = 25 · 3.14 · 3.5² · h

    115500 = 961.625 · h

    ⇒ h = 115500 : 961.625 = 120.1 in
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