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):

   $V = \pi r^2 h$

   Answer (a):

   $62.83 \text{ cm}^3$

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

   Answer (b):

   $0.04\frac{\text{g}}{\text{cm}^3}$