Posted by Shaniqua on .
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,
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,
area of 1 buoy: pi d^2 = 144pi
so, quarts of paint:
q = 144pi * 500 / 175 
Geometry 
Steve,
oops  Go with Ms Sue  I forgot to change inches to feet.

Geometry  Mine is wrong 
Ms. Sue,
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,
Thanks!

Geometry 
Ms. Sue,
You're welcome. Sorry about the mixup.