Revolutions of a Sphere on an Incline

[yankeekd25]

Homework Statement

A sphere of radius 0.19 meters starts from rest at the top of an incline at a height of 7 meters. The angle of the incline is 36 degrees. How many revolutions does the sphere make as it rolls to the end of the incline without slipping?

 

[rock.freak667]

You need to post an attempt. Start by finding the distance the sphere must roll.

 

[yankeekd25]

You need to post an attempt. Start by finding the distance the sphere must roll.

x (length of incline)= 7/ sin 36 = 11.91 m.

What is the next step please? Do I need to do something with conservation of energy?