If the diameter is 8 centimeters, the radius is 4. We can use the formula

and plug in r=4 and h=13 to get

, so

.
Read the problem.
Write down the facts and figures.
Find a relationship between what is given and what must be found.
Do the work.
Answer:
The work done is 202.50Nm
Step-by-step explanation:
Given



Required
The work done
First, we calculate the spring constant (k)




So:


The work done using Hooke's law is:

This gives:

Rewrite as:

Integrate

This gives:




Convert to Nm


The most likely number of cats = 21/37 x 8 = 4.54 ≈ 5 cats
The most likely number of dogs = 16/37 x 8 = 3.46 ≈ 3 dogs
The probability of that arrangement happening = 1/8^2 = 1/64 = 0.00156