Rick's favorite drink, Aloha Pineapple Juice, is packaged in a can like the one shown below. It contains $350$ ml of juice. Even after drinking it, he always feels thirsty. He wants the company to package the juice in a larger can.

1. If the company enlarges the dimensions of the can by a ratio of $\frac { 4 } { 1 }$, how much juice would the can hold? Show your work or explain how you got your answer.

   Hint (a):

   If the scale factor is $\frac{4}{1}$, the volume factor is ${\left(\frac{4}{1}\right)^3}$.

   Help (a):

   If the original volume is $350$ ml and the scale factor is $64$ times as large, what is the new volume?

   Answer (a):

   $350 \text{ ml} · 64 = 22{,}400 \text{ ml}$

2. Does it seem likely that the company will make a can that size? Explain.

   Help (b):

   $22$ liters would weight almost $50$ pounds!