H=(√3)*a/2 = 41.2
So, a=2*41.2/√3=47.6
I just used my Ti 84
it is correct except for 3rd number
should be
-3
-6
-16
8
The probability is 0.0008.
I used a binomial probability on this one, since there are two outcomes (either pass or fail); the events are independent (the probability of one person passing does not influence the probability of another passing); and there are a fixed number of trials (in this case, 20).
For binomial probabilities, we use the formula:

With our information, we have:
The volume formula for a cylinder is :
V= (pi)(r^2)(h)
So r= d/2 where d = 16mm so r= 8mm h is given as equaling 5.7mm
Now just plug it into the formula.
V=(pi)(8^2)(5.7) = 364.8 pi mm = 1146.053mm