The SA is correct but volume is off. 4/3 times pi times radius cubed is 904.7787. When making your ratio you would divide the SA by the volume to get a ratio that is about 1 to 2.
The correct answer to your question would be C, to list the the product as 2 for 6$
You first separate the triangle from the rectangle. Then multiply one side be one side.
P(sum = 6) = 5/36 ; P(sum = 12) = 1/36
expected payoff = (5/36)(5) + (1/36)(9) = $0.94