The cylinder is a clue to use cylindrical coordinates. Taking

and

, we then are forced to use

. So the parameterization of the intersection of the plane and cylinder is

To get the surface, we can introduce a second parameter

that "contracts" the elliptical intersection to a point. The simplest way to do this is to use

with

and

.
All you have to do is 144/12=12 so therefore there are 12 packages of cookies they had to bake for a fundraiser.
Answer: 200 kcal
SOLUTION
Given,
A bottle of drink has four eight-ounce (1-cup) servings per
bottle.
There are 50 kcal per cup
Amount of kcal per bottle = ?
1 bottle = 4 cups
1 cup = 50 kcal
1 bottle = 4 cups = 4 x 50 kcal
1 bottle = 4 cups = 200 kcal
Therefore, there are 200 kcal in the whole bottle