The formula for the volume of a sphere is mc012-1.jpg. what is the formula solved for r?

The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].

Solution:

The formula for the volume (V) of a sphere is:

V=(4∏/3) r^3

Solving for r: Multiplying both sides of the equation by 3/(4∏):

3/(4∏) V = 3/(4∏) [(4∏/3) r^3]

3V/(4∏) = r^3

Cubic root both sides of the equation (raising to the power 1/3):

Cubic root [3V/(4∏)] =Cubic root (r^3)

Cubic root [3V/(4∏)] = r

r = Cubic root [3V/(4∏)]

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.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)