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29 August, 00:00

An ice cream company wants to package a pint of ice cream in a circular cylinder that is 4 inches high. A pint is 16 fluid ounces and 1 fluid ounce is 1.8 cubic inches. What does the radius of the base circle Have to be?

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  1. 29 August, 01:39
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    The radius of the base circle has to be 1.51 inches

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Height of the ice cream package = 4 inches

    Volume of the ice cream package = 1 pint = 16 fluid ounces

    2. What does the radius of the base circle have to be?

    Let's calculate the volume of the ice cream package, as follows:

    16 fluid ounces = 16 * 1.8 inches³

    Volume = 28.8 inches³

    Let's recall the formula of the volume of a cylinder:

    Volume = π * r² * h

    Replacing with the values we have:

    28.8 = 3.1416 * r² * 4

    28.8 = 12.57 r²

    r² = 28.8/12.57

    r² = 2.29

    √ r² = √2.29

    r = 1.51 inches
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