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13 July, 12:11

Find the surface area of a cylinder with a base radius of 4 yd and a height of 9 yd.

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  1. 13 July, 12:32
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    The surface area of the cylinder is 326.56yd²

    Step-by-step explanation:

    To solve this problem we have to calculate the circle area and the lateral area

    To calculate the area of the circle we use the following formula

    a = area

    r = radius = 4yd

    π = 3.14

    a = π * r²

    we replace with the known values

    a = π * (4yd) ²

    a = π * 16yd²

    a = 50.24yd²

    The area of the circle is 50.24yd²

    To calculate the lateral area of the cylinder we use the following formula

    a = area

    h = heighti = 9yd

    r = radius = 4yd

    π = 3.14

    a = 2 * π * r * h

    we replace with the known values

    a = 2 * 3.14 * 4yd * 9yd

    a = 6.28 * 36yd²

    a = 226.08yd²

    The lateral area of the cylinder is 226.08yd²

    Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder

    226.08yd² + (2 * 50.24yd²) = 326.56yd²

    The surface area of the cylinder is 326.56yd²
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