Emily has a collection of plastic containers shaped like cylinders and cones. Emily has two identical cylinders and six identical cones. The combined volume of the cylinders is equal to the combined volume of the cones. The diameters of the cylinders and cones are 412 inches and the heights of the cylinders are 7 inches. What is the height of each cone?

Abaker has 5 1/4 pies in her shop. she cut the pies in pieces that are each 1/8 of a whole pie. how many pieces of pie does she have?

Lorenzo ate 2/5 of his bag of almonds. his 4 friends ate equal shares of the remaining bag of almonds?

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem