It is given in the question that

And 
can also be written as

Therefore,


That gives,

Answer:
Step-by-step explanation:
The formula for arc length in terms of degrees is
and we have everything we need to fill in to find the angle measure.
which is the same as
and
and
so
θ = 253°
For this case we can propose a rule of three:
bottle ------------>
minutes
x --------------------------------------> 1 minute
Where the variable "x" represents the number of bottles that can be filled in 1 minute.

Thus, William can fill
of a water bottle in 1 minute.
Answer:
William can fill
of a water bottle in 1 minute.