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Geometry

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Lobster fishers in Maine often use spherical buoys to mark their lobster traps. Every year the buoys must be repainted. An average buoy has a 12 inch diameter, and an average fisher has about 500 buoys. A quart of marine paint covers 175 ft squared. How many quarts of paint does an average fisher need each year?

  • Geometry -

    Let's change the inches to feet.

    SA = 4 * 3.14 * 0.5^2
    SA = 6.28 sq. feet

    (500 * 6.28)/175 = 17.94 = 18 quarts

  • Geometry -

    area of 1 buoy: pi d^2 = 144pi
    so, quarts of paint:

    q = 144pi * 500 / 175

  • Geometry -

    oops - Go with Ms Sue - I forgot to change inches to feet.

  • Geometry -- Mine is wrong -

    And I forgot to square the radius.

    SA = 4 * 3.14 * 0.5^2

    SA = 3.14 square feet

    (500 * 3.14)/175 = 8.97 = 9 quarts

  • Geometry -

    Thanks!

  • Geometry -

    You're welcome. Sorry about the mixup.

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