Answer:
0.3891 = 38.91% probability that only one is a second
Step-by-step explanation:
For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
17% of its goblets have cosmetic flaws and must be classified as "seconds."
This means that 
Among seven randomly selected goblets, how likely is it that only one is a second
This is P(X = 1) when n = 7. So


0.3891 = 38.91% probability that only one is a second
C = 56.55n <== this is ur equation
Answer:
12862.83cm³
Step-by-step explanation:
Volume of the Box: [L×W×H] or [30x30x30] or [27000cm³]
Volume of the Sphere: [
] (
=pi=3.14) (r=radius=15) or [
×3.14×3375] or [14137.17cm³]
Volume of the empty space: 27000cm³-14137.17cm³=12862.83cm³
Btw there are online tools to help you find the volume of a sphere (just use it after you understand the equation)
Hope I helped!