Posted by **Shaniqua** on Sunday, April 7, 2013 at 5:33pm.

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 -
**Ms. Sue**, Sunday, April 7, 2013 at 5:54pm
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 -
**Steve**, Sunday, April 7, 2013 at 5:54pm
area of 1 buoy: pi d^2 = 144pi

so, quarts of paint:

q = 144pi * 500 / 175

- Geometry -
**Steve**, Sunday, April 7, 2013 at 5:55pm
oops - Go with Ms Sue - I forgot to change inches to feet.

- Geometry -- Mine is wrong -
**Ms. Sue**, Sunday, April 7, 2013 at 6:00pm
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 -
**Shaniqua**, Sunday, April 7, 2013 at 6:21pm
Thanks!

- Geometry -
**Ms. Sue**, Sunday, April 7, 2013 at 6:24pm
You're welcome. Sorry about the mixup.

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