A right circular cylinder has a radius of 12 centimeters and a volume of \( 2,448 \pi \) cubic centimeters. What is the height, in centimeters, of the cylinder?

To find the height of the right circular cylinder, we can use the formula for the volume of a cylinder: \[ V = \pi r^2 h \] Given that the radius \( r = 12 \) cm and the volume \( V = 2,448 \pi \) cubic centimeters, we can substitute these values into the formula and solve for the height \( h \). \[ 2,448 \pi = \pi \times 12^2 \times h \] Now, we can solve for the height \( h \) by dividing both sides by \( \pi \times 12^2 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2448}{144}\) - step1: Divide the terms: \(17\) The height of the right circular cylinder is 17 centimeters.