Trim Off The Tops, And Slice The Carrots Into ¼" Pieces.
Place Them In A Medium-Size Saucepan, And Add Water Just To Barely Cover Them.
Place The Pan Over High Heat And Bring To A Boil, Then Reduce The Heat To Medium-Low And Let The Carrots Simmer, Uncovered, Until Fork-Tender, About 15 Minutes.
Drain The Carrots, And Place Them In A Food Processor Fitted With A Steel Blade.
Pulse For 45 To 60 Seconds Or Until They Are Coarsely Pureed And Yield 1⅓ Cups.
Set Aside.
Place A Rack In The Center Of The Oven, And Preheat The Oven To 350°F.
Grease And Flour Three 9" Round Cake Pans, And Shake Out The Excess Flour.
Set The Pans Aside.
Drain The Pineapple Well In A Sieve.
Put The Walnuts On A Baking Sheet And Place In The Oven To Toast Until Lightly Browned, 5 To 7 Minutes.
Remove The Walnuts, And Set Aside To Cool.
Sift Together The Flour, Sugar, Salt, Baking Soda, And Cinnamon In A Large Mixing Bowl.
Add The Oil, Eggs, And Vanilla.
With A Large Spoon, Stir The Wet Ingredients Together And Then Sift Into The Dry Ingredients Until Just Combined.
The Batter Will Be Thick.
Fold In The Coconut, Carrots, Pineapple, And Walnuts Until Well Blended.
Divide The Batter Between The Prepared Pans, And Place The Pans In The Oven.
Bake The Cakes Until They Turn Dark Brown And A Toothpick Inserted In The Center Comes Out Clean, 32 To 37 Minutes.
Remove The Cakes To A Wire Rack To Cool For 10 Minutes.
Run A Knife Around The Edges Of The Pans, And Give The Pans A Gentle Shake.
Invert Them Once And Then Again Onto The Rack To Cool Right Side Up, 30 Minutes.
While The Layers Cool, Prepare The Frosting.
To Assemble The Cake, Place 1 Layer On A Cake Plate And Spread With A Generous ¾ Cup Of Frosting.
Top With The Second Layer And Repeat.
Top With The Third Layer, And Spread The Frosting On The Top And Sides Of The Cake.
Chill For At Least 30 Minutes To Make Slicing Easier.
Notes / Tips / Wine Advice:
Cake Note: To Make These Layers Containing Pineapple And Coconut Easy To Remove From The Pan, Grease And Flour Generously. Or Line The Pan Bottoms With A Round Of Parchment Paper.