Find the height of the cylinder. Round your answer to the nearest whole number.

First, we need to find the radius of the cylinder using the formula:

\[ \text{Volume of a cylinder} = \pi r^2 h \]

Given that the diameter is 8 cm, the radius (r) is half of that, so \( r = 4 \) cm.

Now we can plug in the values to find the height (h):

\[ 176 = \pi \times 4^2 \times h \]
\[ 176 = 16 \pi h \]
\[ h = \frac{176}{16\pi} \]
\[ h \approx 3 \text{ cm} \]

Therefore, the height of the cylinder is approximately 3 cm.