Finding total surface area of a sphere +more

I have a sphere that is 1.5 inches in diameter thus it has a radius of .75 inches. I have found a formula that gives me the total surface area.

The formula I found is:

My problem is once I find the total surface area I need to find a way to fit atleast 30 diamonds into that total space. So according to the formula, the total space comes out to 7.065 inches. If this is the case, then I asume that would be a 7.065 by 7.065 flat area? If so how can I figure out how to fit 30 diamonds into that space? So far I have a diamond dimension of .75 inches wide and 2.25 inches long / tall. That comes out to around 27 diamonds.

40b1t