A cone has a volume of $36\pi\text{ cm}^3$ and a height of $3$ cm. A cylinder has a radius equal to one-third the radius of the cone, and a height equal to four times the height of the cone. What is the positive difference between the volume of the volume of the cone and the volume of the cylinder? Express your answer in terms of $\pi$.

wiseowl Aug 25, 2023