Now lets draw a cylinder, wich we can later transform intoa vase, for example. Lets star by drawing the ellipse. 

Lets draw the sides and then get to the base. The ends of the ellipse should not end at a point, they should be curved. Here you can see the geometric shapes together.

Add shadows to the cyclinder. The area which unites the three figures is the area which should be the darkest. Lets start there.