The figure represents a conical flask.The flask consists of a cylinder part and a frustrating of a cone.The diameter of the base is 10cm while that of the neck is 2cm.The vertical height of the flask is 12cm

Calculate the slant height of the frustration part

FRUSTRUM not frustration -- Boy, that is frustrating!

There is not enough information, because we don't know the height of the cylinder. Let's say that
the cylinder has height c
the frustrum has height h, and slant height s
Then all we know is that
4h+c = 12
s^2 = h^2 + 4^2