Tom baked 2 cakes using a circular cake pan of diameter 10 inches. He plans to make a layered cake with one cake on top of the other with frosting only in between the two cakes and on top of the second cake. Maria baked 3 cakes using a circular cake pan of diameter 6 inches. She plans to make a layered cake with one cake on top of the other and frosting only in between the cakes and on top of the third cake. The height of frosting in both their cakes is the same.

Who requires more frosting?

Question

Tom baked 2 cakes using a circular cake pan of diameter 10 inches. He plans to make a layered cake with one cake on top of the other with frosting only in between the two cakes and on top of the second cake. Maria baked 3 cakes using a circular cake pan of diameter 6 inches. She plans to make a layered cake with one cake on top of the other and frosting only in between the cakes and on top of the third cake. The height of frosting in both their cakes is the same.  

Who requires more frosting?

anonymous · Answer

Maria. She has to frost an area of 56.52 square inches, and Tom has to frost an area of 31.40 square inches.

 Tom. He has to frost an area of 157 square inches, and Maria has to frost an area of 84.78 square inches.

 Maria. She has to frost an area of 339.12 square inches, and Tom has to frost an area of 157 square inches.

 Tom. He has to frost an area of 62.8 square inches, and Maria has to frost an area of 56.52 square inches.