A conical concrete block of radius \(10 \ cm\) and a vertical height \(24 \ cm\) been installed atop the gate pillars for decorative purposes. A curious student passing through the gate wishes to analyze the following aspects of the structure. (Note: Use \(\pi = 3.14\))
1. What is the slant height of the conical block?
2. What is the total surface area of the conical block?
3. If a decorative paint pattern is applied to the block, how much area will the painter has to cover?
4. If decorative pebbles are to be affixed on its surface, then how many of pebbles are required if each of it covers \(3 \ cm^{2}\)?