Consider a tank with the shape of an inverted circular cone with a height of 10 m and a base radius of 4 m. Suppose the tank is filled with water to a height of 8 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. The density of water is 1000 kg/m^3 and g = 9.8 m/s^2.

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events