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6 July, 01:02

An 16 16 -oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells for $ 1.60 1.60. In the same store, a 29 29 -oz jar of the same brand is 7 and one half 7 1 2 in. high and 5 and one fourth 5 1 4 in. in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be? If the cost is directly proportional to weight, what should the price of the larger jar be? If the cost is directly proportional to volume, the price of the larger jar should be $ nothing

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  1. 6 July, 01:21
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    Step-by-step explanation:

    The formula for determining the volume of a cylinder is expressed as

    Volume = πr²h

    Where

    r represents the radius of the cylinder.

    h represents the height of the cylinder.

    π is a constant whose value is 3.14

    Considering the 16 oz jar,

    h = 7 inches

    Diameter = 5 inches

    Radius = diameter/2 = 5/2

    r = 2.5 inches

    Volume = 3.14 * 2.5² * 7 = 137.375 inches³

    Considering the 29 oz jar,

    h = 7.5 inches

    Diameter = 5.25 inches

    Radius = diameter/2 = 5.25/2

    r = 2.625 inches

    Volume = 3.14 * 2.625² * 7.5 = 162.27 inches³

    1) If the cost is directly proportional to volume, then

    If 137.375 inches³ cost $1.6

    then 162.27 inches³ should cost

    (162.27 * 1.6) / 137.375 = $1.89

    The price of the larger jar would be $1.89

    2) If the cost is directly proportional to weight, then

    If 16 oz cost $1.6, then

    29 oz would cost

    (29 * 1.6) / 16 = $2.9

    The price of the larger jar would be $2.9
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