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9-inch round cake pan that is 2 inches deep. An 11-inch by 7-inch rectangle pan that is 2 inches deep and an 8-inch pan that is 2 inches deep.

Matthew is baking a cake. The recipe uses 9-inch round cake pan that is 2 inches deep. Matthew has an 11-inch by 7-inch rectangle pan that is 2 inches deep and an 8-inch square pan that is 2 inches deep. Which pan should he use? Explain your reasoning.

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2 Answers

The volume the recipe uses is for a cylinder, so the volume is 4.522π.
The volume of the first pan is 11*7*2.
The volume of the second pan is 8*8*2.
 
Compare the volumes.
 
Torrey started the solution for you; you can use the following to complete the solution without a calculator:
 
V_cylinder = Bh = pi r^2 h ≈ (22/7) (9/2)^2 (2)
≈ (22/7) (81/2) ≈ 11*81/7 ≈ 891/7