 # A painter mixes gallons of paint in a large cylindrical bucket so that there will be no difference in colour among individual gallons. If one gallon of paint has a volume of approximately $$8000 \mathrm{~cm}^{3}$$, what is the maximum number of whole gallons of paint that can be poured into the bucket?

Explanation

The Math formulas page will be helpful for this question. You must use the appropriate formula for the volume of a cylinder and recognize that its radius is half of the diameter shown. Once the volume is computed, that answer is divided by 8000. Since only whole gallons are to be poured into the bucket, the quotient is rounded DOWN. The concept of rounding up or down (as appropriate to a particular situation) to produce a whole-number answer is an important one for you to understand.
Volume of bucket:
$$(3.14) \times(20)^{2} \times(60)=75,360 \mathrm{~cm}^{3}$$
$$75,360 \div 8000 = 9.42$$gallons
Answer is rounded DOWN because 10 whole gallons would not fit. Final answer: 9 gallons