Electric potential of a conducting sphere

[elyons]

Homework Statement

A 5.5 cm radius conducting sphere is charged until the electric field just outside its surface is 1667 V/m. What is the electric potential of this sphere, relative to infinity?

Homework Equations

V = - integral ( E (dot) dl )

The Attempt at a Solution

They only way I can think of going about this makes the potential directly related to the distance from the sphere, I know this is wrong because that would make the potential at an infinite distance go to -infinity. I am aware that for a charged sphere the potential at infinity must be 0. Is there some step I am missing that would make this field inversely proportional to the distance? I have been stuck on this one for awhile now and am not progressing...
Thanks for any help!

 

[vela]

Start by applying Gauss's law to calculate the electric field in the region outside the sphere.