UC berkely versus Columbia, graduate engineering school ,,, where do I have a better chance?

Middle eastern female , international student
undergraduate GPA is 87.7% (3.5 /4) , rank among batch is 2nd out of 170
TOEFL :105/120, GRE: Q 162, V 154 A 3.5
Extracurriculars: music and piano, received ABRSM’s grade 8 piano certificates both practical (piano ) and theory
Received a national award in mathematics ( ranked first in my country)
Done some volunteering at an international organization ( KOICA)

@Abbey94 - For anyone to help you, you need to explain why you want to go to graduate school. What is your ultimate goal? Do you want to be a professor or work in industry? Do you want to work in the US or back home? PhD or Masters? What engineering field? Research experience? Work experience?

Why these two universities? Only after you can answer the basic questions should you start focusing on where you want to study? And you really have to narrow it down further. My son is heading off to graduate school in the fall of 2018. He will graduate in May 2018 with a degree in Aerospace Engineering with good grades and GRE scores. He likes research and teaching so he wants to get a PhD. But a PhD in AE could focus on numerous areas. For example, Purdue is a top AE university and offers six general areas of research: Aerodynamics, Aerospace Systems, Astrodynamics & Space Applications, Dynamics & Control, Propulsion, and Structures & Materials. Drilling down even further, Propulsion could focus on jets or rockets. Within rockets, one could focus on chemical, plasma/electrical, or maybe even nuclear. For each engineering field, the breakdown will be somewhat similar.

Only after you have identified what you want to do, should you start focusing on universities. For example, my son is interested in space propulsion, specifically plasma/electrical propulsion. Purdue has one of the top chemical propulsion programs, but does not have any professors researching plasma propulsion. So as much as my son likes Purdue generally, he will not be applying there. He will apply to the top schools in plasma propulsion, specifically Michigan, Georgia Tech, and Princeton, with likely back-up applications to Texas A&M, Penn State, and Colorado State.

Extracurricular generally are irrelevant for graduate school. You will need great recommendations. For a PhD, they will need to be from professors, especially those who you have done research for. For a Masters Degree, it could help to have recommendations from an employer where you have done engineering work.