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.

Question

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.

Answer 1

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.

 

Answer 2

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