Step 1 :Step 1: Write down the formula for the volume of a cone, which is \(V = \frac{1}{3}\pi r^2 h\).
Step 2 :Step 2: Substitute the given values into the formula. So, \(V = \frac{1}{3}\pi (4)^2 (6)\).
Step 3 :Step 3: Calculate the volume. So, \(V = \frac{1}{3} \pi (16)(6) = \frac{96}{3}\pi = 32\pi\) cubic cm.