Alice purchased paint in a bucket with a radius of 9 in. and a height of 9.5 in. The paint cost $0.09 per in3.

What was the total cost of the paint, rounded to the nearest cent?

Use 3.14 to approximate pi.

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.