Find an expression in terms of radius r for the ratio of surface area to volume
for each of the following objects, given
that their volume is equal to that of the
sphere of radius r:
i A cube.
ii A cylinder with two half-spheres
attached at its bases, and height of
cylinder equal to five times the radius
of its base.
iii Hence, if the sphere has unit volume,
find how many times more surface
area each object will have than the
sphere.

If (x-2) 2= 49, then x could be a. -9 b. -7 c.- 2 d. 5 e.9

What is the measure of sty in oo below? 130 310 230 50

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?