(Solved): 2. Soup Cans Problem A box is packed with six identical cylindrical cans, as shown. a. If the radi ...

2. Soup Cans Problem A box is packed with six identical cylindrical cans, as shown. a. If the radius of each can is \( 1.5 \) inches and the height is 6 inches, what is the total volume occupied by the cans? b. What are the dimensions of the box? c. What percentage of the total volume of the box is occupied by the cans? d. If the radius of each can is \( r \) and the height is \( h \), what percentage of the total volume of the box is occupied by the scan? e. Does your answer to the previous question depend on the dimensions of the can? Explain your answer.