SOLUTION: A shell station stores it's gasoline in underground tanks that are right circular cylinders lying on their sides. The volume V of gasoline in the tank (in gallons) is given by the

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A shell station stores it's gasoline in underground tanks that are right circular cylinders lying on their sides. The volume V of gasoline in the tank (in gallons) is given by the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1208651: A shell station stores it's gasoline in underground tanks that are right circular cylinders lying on their sides. The volume V of gasoline in the tank (in gallons) is given by the formula

V = (40h^2)(sqrt{(96/h) - 0.607}, where h is the height of the gasoline (in inches) as measured on a depth stick.

A. Can h be isolated for this formula?
B. If h = 1 inch, how many gallons of gasoline are in the tank?


Let me see.

I say part A is not possible. There’s no general algebraic formula to solve for h directly. You say?

For part B, I simply let h = 1 in the formula and evaluate for V.

You say?

Found 2 solutions by Shin123, Alan3354:
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
If we try to solve for h, we can expand the right hand side and get V=160sqrt%286%29%2Ah%2Asqrt%28h%29-24.28h%5E2. Letting a=sqrt%28h%29 gives -24.28a%5E4%2B160sqrt%286%29%2Aa%5E3-V=0.
Although it is theoretically possible to isolate h using the quartic formula, that would be incredibly tedious and likely impossible without the help of a computer.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
it's = it is