11. The volume of a cylinder is $602.88 \mathrm{~cm}^{3}$. I the radius of the base is $4 \mathrm{~cm}$, what is the

Step 1 ：Given the volume of the cylinder, V = 602.88 cm^3, and the radius of the base, r = 4 cm.

Step 2 ：Use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.

Step 3 ：Solve for the height: h = \(\frac{V}{πr^2}\)

Step 4 ：Plug in the given values: h = \(\frac{602.88}{π(4)^2}\)

Step 5 ：Calculate the height: h ≈ 11.99 cm

Step 6 ：\(\boxed{\text{The height of the cylinder is approximately 11.99 cm}}\)