When baking a cake you have a choice of the following pans around cinderical pan that is 3 in deep and has 8 in in diameter or a 8-in by 11 inch rectangular pan that is 3 inches deep which of these pans has a larger volume
To determine which pan has a larger volume, we need to use the formula:
Volume = Base Area x Height
For the cylindrical pan, the base is a circle with a radius of 4 inches (half of the diameter). Therefore, the base area is:
Base Area = π x radius^2 = π x 4^2 = 16π square inches
The height of the cylindrical pan is 3 inches. Therefore, the volume of the cylindrical pan is:
Volume = Base Area x Height = 16π x 3 = 48π cubic inches
For the rectangular pan, the base area is:
Base Area = length x width = 8 x 11 = 88 square inches
The height of the rectangular pan is also 3 inches. Therefore, the volume of the rectangular pan is:
Volume = Base Area x Height = 88 x 3 = 264 cubic inches
So, the rectangular pan has a larger volume than the cylindrical pan.