Answer:
the height of the cylinder is 6 cm.
Explanation:
Let's start by using the formulas for the volume of a cylinder and a cone:
Volume of a cylinder = πr^2h
Volume of a cone = (1/3)πr^2h
Given that the cylinder and cone have the same radius and volume, we can set their volume equations equal to each other:
πr^2h = (1/3)πr^2(18)
Simplifying this equation by canceling out πr^2 on both sides, we get:
h = (1/3) * 18
h = 6
Therefore, the height of the cylinder is 6 cm.2