Final answer:
The volume of an 8-inch round cake pan is approximately 100.5 cubic inches or 1.64 liters. Substitutes for two (8-inch) round cake pans could be one (9x13-inch) rectangular pan or two (9-inch) round cake pans.
Step-by-step explanation:
The student is asking about the volume of an 8-inch round cake pan and what other pans could be used as substitutes. The volume of an 8-inch round cake pan can be calculated using the formula for the volume of a cylinder, V = πr2h, where r is the radius (half of the diameter, hence 4 inches) and h is the height of the pan. Assuming the pan is 2 inches tall, the volume would be approximately V = π(42)(2) = π(16)(2) = 32π cubic inches, which is about 100.5 cubic inches or roughly 1.64 liters.
When looking for substitution, you could use one (9x13-inch) rectangular pan, or two (9-inch) round cake pans, as they have volumes close to two (8-inch) round cake pans. The principle here is to maintain a similar volume to ensure the batter fits and bakes properly.