5. Exercise Problem II

Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminum sheet. The diameter of the model is $3 cm$ and its length is $12 cm$. If each cone has a height of $2 cm$, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)

 

Volume of the model $=$ $cm^3$