I'm thinking to upgrade the ssd of my macbook pro 15 inc which is late of 2013. I haven't opened up the mac until now. But, as far as I see, ssd of the mac seems different like sliver. I think to buy that one. Isn't it suitable for the mac? I'd like to now the difference whether there is.
The MacBook Pro Retina, 15-inch, Late 2013 SSD is not as in the picture of your question. Have a look at MacBook Pro 15" Retina Display Late 2013 SSD Replacement, to see what the Storage device looks like and how to replace it.
Also have a look at, Solid State Drive Upgrades - MacBook Pro with Retina Display 13" & 15" Late 2013, 2014, and 2015 from MacSales.com.
Note that the SSD Upgrade Kit offered by MacSales.com is a reasonably priced and nice option to be able to continue using the original SSD once replaced.