## Algebra Ratio Story Problem. Check work?

A large industrial type, cylindrical shaped vat measures 12 feet in diameter and that is 4 feet deep is capapable of containing a total capacity of 70% liquid. The chemical that fills the vat costs twenty-five cents per cubic inch retail. What is the wholesale cost of the chemical if the chemical has been marked up 20% and how much profit does the vendor make from selling the chemical at retail?

Wholesale Cost $____________ and Vendor Profit$______________

Thanks to all that find this fun and for your help in working it through.

ok to show im not here just to get answers. heres what i got so far

change my knowns to all same unit.
12ft = 144in
x=$.2083333333=amount per in^3 at wholesale cost? SO 21 cents? is my answer for wholesale cost per in^3. 547210.148225in^3 x ($.20833333333= wholesale cost of vat at its capacity, (which is only 70% of vat volume)
=$114,002.11 per vat?????? AND Vendor Profit =$22,800.42 per vat??????