Tonnage (say 80 ton full) of cone given a percent full.

[Bushy bill]

I have a cone that holds 80 ton full. I would like a simple equation to work out how much capacity is left (or how much used) at 10% height. This way I can graph how much capacity left at a percentage height. There is no other accurate data other than full tons. Is this even possible given limited data. Thankyou

 

[Deleted member 4993]

I have a cone that holds 80 ton full. I would like a simple equation to work out how much capacity is left (or how much used) at 10% height. This way I can graph how much capacity left at a percentage height. There is no other accurate data other than full tons. Is this even possible given limited data. Thank you

The volume of a fixed cone with height 'h' = V = k*h³

So when the cone is filled to 10% of original height

let the volume = V_new = k*(h_new)³ = k*(0.1*h_old)³ = (1/1000) * V_old

Now you calculate the new volume - hence how much is left.