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

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) (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 . Letting gives .
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) (Show Source): You can put this solution on YOUR website!
it's = it is
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