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18 September, 08:17

The surface area of a cylinder is 408.2 square feet. The area of one of the bases is 78.5 square feet. Find the height of the cylinder. Use 3.14 for π.

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  1. 18 September, 11:15
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    Answer: The height of the cylinder is 8 feet.

    Step-by-step explanation:

    The formula for determining the area of a circle is expressed as

    Area = πr²

    The area of one of the bases is 78.5 square feet. This means that

    78.5 = 3.14 * r²

    r² = 78.5/3.14 = 25

    r = √25 = 5

    The formula for determining the surface area of a cylinder is expressed as

    Surface area = 2πr² + 2πrh

    The surface area of a cylinder is 408.2 square feet. Therefore,

    408.2 = 2 * 3.14 * 5² + 2 * 3.14 * 5 * h

    408.2 = 157 + 31.4h

    31.4h = 408.2 - 157

    31.4h = 251.2

    h = 251.2/31.4

    h = 8 feet
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