Final answer:
The volume of the cone with the same height and radius as the given cylinder with a volume of 144 cubic units is 48 cubic units.
Step-by-step explanation:
The volume of the cylinder is given as 144 cubic units.
To find the volume of the cone with the same height and radius as the cylinder,
we use the formula for the volume of a cone, which is V = (1/3)πr²h.
Since the volume of a cylinder is given by V = πr²h, and the cone's volume is one third of the cylinder's volume when they have equal height and radius,
we can calculate the cone's volume by dividing the cylinder's volume by 3.
Therefore, the volume of the cone is 144 units ÷ 3
= 48 cubic units.