The umbrella
The umbrella started out as a sphere with 32 segments. To get the umbrella shape you then have to convert the sphere into a hemisphere by simply selecting the option in the menu bar.
With the basic shape completed i wanted to make the object more realistic by protruding sections to simulate the frame work of the umbrella.
To do this i used the line selection tool in the top view to select parts of 16 lines around the hemisphere. There are 32 lines around the hemisphere, so to get equal spacing i selected every other line. Once all of the line parts are selected use the loop option as it will then highlight the whole of each line.
With the lines selected i simply used the scale tool to drag them out to create the protrusions. The shape looked a bit rough at first so i added a chamfer amount of 0.1 and then applied a mesh smooth modifier.

