20. When baking a cake, you have a choice of the following pans:

a round cake pan that is 2 inches deep and has a 7 inch diameter
a 6 inch × 9 inch rectangular cake pan that is 2 inches deep
a. Which of these pans has the larger volume? Justify your answer.

b. How much icing will be needed to frost each cake, excluding the bottom of the cake? Justify your answer.

Question

20.   When baking a cake, you have a choice of the following pans: 

          a round cake pan that is 2 inches deep and has a 7 inch diameter 
          a 6 inch × 9 inch rectangular cake pan that is 2 inches deep 
a. Which of these pans has the larger volume? Justify your answer.

b. How much icing will be needed to frost each cake, excluding the bottom of the cake?  Justify your answer.

mertsj · Answer

Volume of the round pan = pi times radius times radius times height
Volume of rectangular pan = length times width times height