You fill cone-shaped pastry bags with icing to a height of 1 foot and a diameter of 3.5 inches. You use about 1.35 cubic inches of icing per cupcake. About how many cupcakes can you decorate with 2 bags of icing?

Answer 1

First, we need to calculate the volume of icing in each cone-shaped pastry bag.

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius and h is the height.

Given that the diameter of the bag is 3.5 inches, the radius (r) is half of the diameter, so r = 3.5 / 2 = 1.75 inches.

Plugging in the values, V = (1/3) * π * (1.75)^2 * 12
V ≈ 39.42 cubic inches

Now, to find out how many cupcakes can be decorated with 2 bags of icing, we can divide the total volume of icing by the volume used per cupcake.

2 bags * 39.42 cubic inches/bag = 78.84 cubic inches of icing in total

78.84 cubic inches / 1.35 cubic inches/cupcake ≈ 58.4 cupcakes

Therefore, you can decorate approximately 58 cupcakes with 2 bags of icing.