A cork in the shape of a cylinder has a radius of $2$ cm, a height of $5$ cm, and weighs $2.5$ grams.  

1. What is the volume of the cork?

   Hint (a):

   $\text{Volume}=(\text{area of the base})(\text{height})$
   $\text{Volume}=(\pi r^2)(\text{height})$

2. What is the cork’s density in grams per cubic centimeter? That is, how many grams of cork are there per cubic centimeter?

   Hint (b):

   $\text{Density}=\frac{\text{mass}}{\text{volume}}$