Equation with inverse cosine needed to be rewritten

[-bLazE-]

Homework Statement

I need to rewrite this equation as a function of y. would love some help since i failed on the right side of the equation.

v= [πr(3R-y)y²]/3R + L√[(2R-y)y(y-R)+R²cos^-1(1- y/R)]

i mean is it even possible to get y out of there, with inverse cosine and all?
Thanks in advance.


@gabbagabbahey
there isn't any original question. i wanted to get this equation in order to use in calculating the liquid height in an LPG tank. The equation above gives the liquid volume in the tank as long as you have the liquid height. i want to make use of it in reverse. i have the liquid volume and want to calculate the liquid height.

 

[gabbagabbahey]

What was the original question?

 

[quantum13]

I'm not sure you can do it algebraically.

Look at

http://en.wikipedia.org/wiki/Kepler's_equation#Inverse_problem

for a similar question.