how much frosting does it take to frost 24 cupcakes? Assume a cupcake has a 1 inch radius.
How much in volume, or mass?
assume .5 cm thick icing...that is chincy.
volume=24*.5*PI*2.54^2 cm^3 = 243 ml
That is about a cup. That would be plenty for fondant, however, for butter cream, thicker maybe .8 cm, so a cup and a half. Now for whipped icing, put it on really thick, 2 cups.
thanks
To determine the amount of frosting needed to frost 24 cupcakes, we'll need to find the total surface area of the cupcakes and multiply it by an appropriate thickness of frosting.
First, let's calculate the surface area of a single cupcake. The surface area of a cupcake can be calculated using the formula for the surface area of a cylinder, which is given by:
Surface Area = 2πr^2 + 2πrh
Since we are given that the cupcake has a radius of 1 inch, we can plug in this value into the formula and calculate the surface area. Assuming a standard cupcake liner is 2 inches tall, we can set the height (h) as 2 inches:
Surface Area = 2π(1)^2 + 2π(1)(2)
= 2π + 4π
= 6π square inches
Now that we have the surface area of a single cupcake, we can calculate the total surface area of 24 cupcakes by multiplying this value by 24:
Total Surface Area = 6π square inches/cupcake * 24 cupcakes
= 144π square inches
Next, let's determine the thickness of frosting we want on the cupcakes. The thickness of frosting is a personal preference, but for our calculation, let's assume we want a thickness of 0.25 inches.
To find the volume of frosting required, we multiply the total surface area by the desired thickness of frosting:
Volume of Frosting = Total Surface Area * Thickness of Frosting
= 144π square inches * 0.25 inches
= 36π cubic inches
So, it will take approximately 36π (approximately 113.04) cubic inches of frosting to frost 24 cupcakes.