Butter your cake mould and dust flour all over. Set aside.
In a blender, add the peeled and chopped carrots, the sugar, the oil and the eggs. Mix until completely liquid (can take a couple of minutes).
Pour the liquid mixture in a bowl.
Sift the flower and slowly add it to the mixture. Add the baking powder and salt. Mix until all combined.
Pour the mixture in your cake mould. Bake at 180°C for around 40 minutes, or until a knife comes out clean. Let it cool down for 15 minutes before unmoulding and cooling completely.
Chocolate Icing
In a saucepan, add the chocolate powder, the sugar, the butter and the water.
Mix continuously until it starts boiling. Continue mixing until you can see the bottom of the saucepan for a couple of seconds when running your spatula at the bottom of it.