# Related Rates Derivative

**Calculus**Level pending

A balloon is in the shape of a cylinder and has hemispherical ends of the same radius as that of the cylinder. (i.e. it looks like a medicine capsule). The balloon is being inflated at the rate of 261(pi) cubic centimeters per minute. At the instant that the radius of the cylinder is 3 cm, the volume of the balloon is 144(pi) cubic centimeters and the radius of the cylinder is increasing at the rate of 2 centimeters per minute. At this instant, how fast is the height of the cylinder changing