SOLUTION: The volume of liquid in a cylindrical tank with its axis parallel to the ground, with radius r, depth of liquid h, and length L is: Vol = L*(r^2*acos((r-h)/r) - (r-h)*sqrt(2rh - h

Algebra.Com
Question 1150884: The volume of liquid in a cylindrical tank with its axis parallel to the ground, with radius r, depth of liquid h, and length L is:
Vol = L*(r^2*acos((r-h)/r) - (r-h)*sqrt(2rh - h^2))
For h < r, solve for h.

Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
There is no algebraic way to solve for h.  That's because h appears both in the
argument of a trig function (cosine) and also elsewhere (in a square root).  The
only way to solve such is when all the letters but h are given, and then only by
iterative means, which amounts to some educated trial and error process, which is
best done by technology.

Edwin

RELATED QUESTIONS

A chemical is poured into a tank the shape of a cone with vertex down at the rate of 1/5... (answered by Alan3354)
A right circular cylinder of radius r and height h has volume given by V=πr^2h and... (answered by ankor@dixie-net.com)
A cylindrical can contains 1 litre (1 litre=1000cm cubed) of liquid. Given that its... (answered by Cromlix,josgarithmetic)
A rectangular tank 50 cm long, 40 cm wide and 35 cm high, contains 30 litres of liquid. (answered by ankor@dixie-net.com)
A rectangular tank is being filled with liquid, with each cubic meter of liquid... (answered by josgarithmetic)
If a cylinder lies on its side and is partially filled with liquid, what it the formula... (answered by stanbon)
can someone help me out with this problem thanks :) A cylindrical tank with horizontal (answered by Alan3354)
I need your help in this function question :A cylindrical water tank has a radius of 6 ft (answered by Alan3354)
An empty cylindrical glass tube has radius r cm and its height is 20cm. A plastic... (answered by addingup)