The volume of a cylinder that has a diameter of 12 feet is 1243.44 cubic feet. How many feet tall is the cylinder? Use 3.14 for \( \Pi \), and type only the numeric value; you do not need to label your answer.

The formula for the volume of a cylinder is given by \( V = \pi r^2 h \). First, we find the radius from the diameter: \( r = \frac{12}{2} = 6 \) feet. Now we can substitute the volume and radius into the equation: \[ 1243.44 = 3.14 \times 6^2 \times h \] Calculating \( 6^2 \) gives us 36, so: \[ 1243.44 = 3.14 \times 36 \times h \] Calculating \( 3.14 \times 36 = 113.04 \), we can rewrite the equation as: \[ 1243.44 = 113.04h \] Now to find \( h \): \[ h = \frac{1243.44}{113.04} \approx 11 \] Therefore, the height of the cylinder is 11.