A Party hat arrived in a cylindrical container in which it fit perfectly. If the volume of the container is 99in3. What is the volume of the cone-shaped hat?

Step-by-step explanation:

For this exercise it is necessary to to remember the shown below:

1. The volume of a cylinder can be calculated  with the following formula:

Where "r" is the radius and "h" is the height of the cylinder.

2. The volume of a cone can be calculated  with the following formula:

Where "r" is the radius and "h" is the height of the cone.

In this case you know that the volume of the cylindrical container is:

Knowing that the cone-shaped hat fit perfectly into the cylindrical container, then you can identify that:

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.