Preheat the oven to 350°F (175°C).

In a large bowl, mix together the flour, sugar, baking soda, cinnamon, and salt.

Add the grated carrots, eggs, vegetable oil, and vanilla extract to the dry ingredients, and mix until well combined.

Pour the batter into a greased bundt pan.

Bake for 60 minutes or until a toothpick inserted in the center comes out clean.

Let the cake cool in the pan for 10 minutes before removing it to a wire rack to cool completely.

For the frosting, whisk together the powdered sugar, milk or cream, and vanilla extract until smooth.

Drizzle the frosting over the cooled cake before serving.