Final answer:
The volume of two 10-inch round cake pans is approximately 314 cubic inches. A 9x13-inch rectangular pan, which has a volume of about 234 cubic inches, can be used as an alternative.
Step-by-step explanation:
The question relates to finding the volume of two 10-inch round cake pans and identifying alternative cake pans that can be used. The volume of a cylinder (which is the shape of a cake pan) is calculated using the formula V = πr²h, where V is the volume, r is the radius of the cylinder, and h is the height of the cylinder. Since most 10-inch round cake pans are about 2 inches in height, we can calculate the volume as follows:
V = π * (5²) * 2 = π * 25 * 2 = 50π ≈ 157 cubic inches (for one pan).
For two pans, we double this amount to get 314 cubic inches. Knowing the volume, we can suggest using a 9x13-inch rectangular pan as an alternative. This pan typically holds about the same volume of batter as the two round pans. A simple way to check this is to compare the volumes: a 9x13 pan is usually 2 inches deep, so its volume is 9 * 13 * 2 = 234 cubic inches. The difference in volume is minimal, so the 9x13 pan is a suitable substitute.