Answer:
y=x-12
Step-by-step explanation:
The length of the parametric curve (call it <em>C </em>) is given by

We have


Now,

so that the arc length integral reduces to

which has an approximate value of 53.4596.
For this case, we must find the inverse of the following function:

We follow the steps below:
We exchange the variables:

We put the variable y on the left side of the equation:

We apply logarithm properties:

So:

Answer:

Option B
Volume of a ball = (4/3)πr³
When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
Difference = 24416.64 - 7234.56 = 17182.08 cm³
the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>