Bill used candle molds, as shown, to make candles that were perfect cylinders and spheres: a cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 5 inches. on the right side of this mold is a spherical mold. the radius of this spherical mold is labeled as 2 inches. what is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 20.82 cubic inches 29.31 cubic inches 56.6 cubic inches 62.8 cubic inches

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?