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29 June, 11:06

The cylinder coffee cup has a radius of 1.8 inches and a height of 4 inches. Find the surface area of the coffee cup, not including the handle. Round to the nearest tenth

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  1. 29 June, 13:29
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    Step-by-step explanation:

    The formula for determining the total surface area of a cylinder 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

    Assuming that the cylindrical cup is open at the top, the formula becomes

    Area = πr² + 2πrh

    From the information given,

    Radius = 1.8 inches

    Height = 4 inches

    Therefore, the surface area of the coffee cup is

    (3.14 * 1.8²) + (2 * 3.14 * 1.8 * 4)

    = 10.1736 + 45.216

    = 55.4 inches² to the nearest tenth.
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