SOLUTION: A cone with a diameter of 6 feet and a height of 5 feet sitting with the vertex up is to be partially filled with water through an opening at the vertex.what is the volume of the w

Algebra ->  Functions -> SOLUTION: A cone with a diameter of 6 feet and a height of 5 feet sitting with the vertex up is to be partially filled with water through an opening at the vertex.what is the volume of the w      Log On


   

Question 984571: A cone with a diameter of 6 feet and a height of 5 feet sitting with the vertex up is to be partially filled with water through an opening at the vertex.what is the volume of the water in the cone in terms of the height of the water?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A formula derived using two different drawn diagrams, and some algebraic steps, all done on paper; difficult to show here on the site.

h, tank height
r, base radius
y, height of the water in partly filled tank
x, the radius at top of the liquid, used in the derivation of formula process

The work and result was done all in symbols.
Result that way %281%2F3%29h%2Api%2Ar%5E2-%281%2F3%29%28h-y%29pi%2A%28r%28h-y%29%2Fh%29%5E2-----still needs to be simplified a bit.