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15 January, 12:17

Healthy grains is planning a new design for its best-selling oatmeal. It has four containers to choose from

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  1. 15 January, 14:59
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    The question is incomplete:

    Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.

    Container A: A cylinder with height 7 inches and diameter 5 inches.

    Container B: A cylinder with height 10 inches and B = 12.57 inches squared.

    Container C: A cylinder with height 5.5 inches and radius 4 inches.

    Container D: A cylinder with height 6 inches and radius 3 inches.

    Answer:

    Container B

    Step-by-step explanation:

    To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.

    The formula to calculate the volume of a cylinder is:

    V=πr^2h, where

    r = radius

    h = height

    πr^2 = base area

    Container A:

    The radius is half the diameter, so 5/2=2.5.

    V = 3.14 * (2.5^2) * 7 = 137.37

    Cost = 137.37*0.03 = 4.12

    Container B:

    12.57 inches is the base area, so:

    V = 12.57*10 = 125.7

    Cost = 125.7*0.03 = 3.77

    Container C:

    V = 3.14 * (4^2) * 5.5 = 276.32

    Cost = 276.32*0.03 = 8.28

    Container D:

    V = 3.14 * (3^2) * 6

    V = 169.56*0.03 = 5.08

    According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.
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