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27 July, 21:43

Brooke is making a c cylindrical bolster pillow for her couch. The pillow is 18 inches long and has a radius of 5 inches. Determine the amount of fabric needed for the pillow. Round to the nearest tenth.

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  1. 27 July, 23:00
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    Step-by-step explanation:

    The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as

    Total surface area = 2πr² + 2πrh

    Where

    r represents the radius of the cylinder.

    h represents the height of the cylinder.

    π is a constant whose value is 3.14

    From the information given,

    radius = 5 inches

    Height = 18 inches

    Therefore,

    Area = (2 * 3.14 * 5²) + 2 * 3.14 * 5 * 18

    Area = 157 + 565.2 = 722.2

    Amount of fabric needed is

    722.2 square inches
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