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Petroleum Engineering deals with optimizing extraction of oil and gas from the surface of earth. Petroleum engineers implement methods that maximize the extraction of hydrocarbons efficiently with least environmental hazards. Some of the top institutes in India that provide specialisation in Petroleum Engineering are:
Indian Institute of Technology, Multiple Locations
Birla Institute of Technology, Pilani
National Institute of Technology, Silchar
Vellore Institute of Technology, Chennai
Indian School of Mines, Dhanbad
National Institute of Technology, Calicut
Sri Ramaswamy Memorial University, Multiple Locations
Pandit Deen Dayal Petroleum University, Gandhinagar
National Institute of Technology, Bhopal
University of Petroleum and Energy Studies, Uttarakhand.

Weight can always be managed according to the requirements. You height may be a issue because it is on the lower limit of the acceptable height for becoming a cabin crew.
Go through the following details for further clarification.
In general Candidate Profile for Freshers for cabin crew is as under :
Age:Between 18 and 27 years
Minimum Height:Men - 170 cms and Women - 157 cms
Weight:In proportion to height
Educational Qualification:HSC (10 + 2). Candidates who are appearing for their HSC examinations can also apply
Physical features:Pleasing personality, clear complexion (scars, pimples and blemishes not acceptable) and good eyesight
Marital Status:Unmarried
Language skills:Fluency in English and Hindi. Proficiency in a foreign language will be an added advantage.
Interactive skills:Excellent communication and good interpersonal skills
Nationality:Indian citizens only
Passport:Must possess a valid Indian passport or should have applied for a passport
Mandatory Documentation :Must possess a Pan Card and Aadhaar Card
So that becomes very clear that it merely requires some grooming to get the job of a cabin crew. They don't demand much from candidates.
You should be interpersonally sound and capable to handle people from different cultures.
Cabin crew is the face of the airline. Coz they face the passengers for the first time.
Foreign languages like German, French, Russian, Arabic, Chinese and Japanese, Can allow you to get an edge over others.
As this allows the airline to roster you on routes where such languages are spoken.