A cone is inscribed in a sphere with a radius, R: a) Find the cone's radius (in terms of R) of the largest cone that can be inscribed in a sphere with radius equal to R (maximize the volume of the cone).
b) What is the value for the height of the cone that can be inscribed in a sphere with radius, (R) equal to 27 cm

b

step-by-step explanation:

b

b

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.