The paint in the bucket forms a cylinder.
The volume of a cylinder is (pi)·(radius)²·(height).
The volume of the paint is
(3.14) · (9 in)² · (9.5 in)
= (3.14 · 81 · 9.5) in³
= 2,416.23 in³ .
I can tell you right now that Alice is going to need a forklift
to bring the paint home, because 231 in³ is a gallon, so she's
got more than 10 gallons of paint there, and paint is heavier
than water, and water weighs around 7.5 pounds per gallon.
Be that as it may, it's not time to call for the forklift because
she hasn't even paid for the paint yet.
At $0.09 per in³, that bucket of paint is going to cost
(2,416.23 in³) · ($0.09 / in³) = $217.46 .
That doesn't even include the deposit on the 10.5-gallon bucket.
