I have dizzyness and nausea with ringing in my ear and a arachnoid cyst and chiari 1 malformation will i need surgery?

Rule out causes: You must first rule out other causes of these symptoms as the finding of an arachnoid cyst and a chiari does not neccesarily mean that these symptoms are due to them. Depending n your age, i would recommend evaluation by a pediatric or adult neurosurgeon with board certification (www.Abns.Org). They should be able to help you sort out whether surgery will be of any help.

Not necessarily: The dizziness and nausea are not really classic symptoms of a chiari malformation nor arachnoid cyst. But this opinion would really need to be given by a neurosurgeon who is also reviewing your MRI of your brain. See a local neurosurgeon for a full evaluation and surgical opinion.