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10 August, 00:11

You are preparing to paint a grain silo. The silo is a 20-foot tall cylinder with a circumference of 147 feet. One gallon of paint covers 300 square feet. How much paint should you buy to cover all but the bottom of the silo with one coat of paint

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  1. 10 August, 01:35
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    The answer to your question is 9 gallons

    Step-by-step explanation:

    Data

    height = 20 ft

    perimeter = 147 ft

    1 gallon covers 300 ft²

    paint = ?

    Formula

    Area of a cylinder = 2πrh + πr²

    2πr = 147 ft

    r = ?

    Process

    1. - Calculate the radius

    2πr = 147

    r = 147/2π

    r = 23.4 ft

    2. - Substitution

    Area of the cylinder = 147 (20) + 3.14 (23.4) ²

    3. - Simplification

    Area of the cylinder = 940 + 1719.33

    Area of the cylinder = 2659. 33 ft²

    4. - Divide the area of the cylinder by the area a gallon can cover.

    Number of gallons = 2659.33/300

    = 8.86 ≈ 9
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