To find the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius and h is the height.
In this case, the radius is given as 3 cm, and the height is given as 6 cm. However, the slanted height is not required to find the volume.
So, using the formula V = πr^2h, we have V = π(3^2)(6).
Simplifying, we get V = π(9)(6).
Multiplying, we get V = 54Ï€, or approximately 169.56 cubic centimeters.
Therefore, the correct answer is 169.56 cubic centimeters.