The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. the height of the cylinder is fixed at 3 meters. at a certain instant, the surface area is 36 pi square meters. what is the rate of change of the volume of the cylinder at that instant (in cubic meters per hour)?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

There is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?