Carrot Cake with Cream Cheese Icing

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Cake:

1 cup unsalted butter, plus 1 tablespoon for cake pan

2 cups sugar

1 teaspoon ground cinnamon

4 eggs

1 1/2 cups grated carrot

2 1/2 cups all-purpose flour, plus 2 tablespoons for cake pan

3 teaspoons baking powder

1/2 teaspoon salt

1/3 cup hot water

10 ounces finely chopped fresh pineapple, or tinned (well drained)

Icing:

1/2 cup unsalted butter, room temperature

1/2 pound cream cheese, room temperature

2 cups icing sugar

1 tablespoon lemon juice