Afrustum is formed when a plane that is parallel to a cone’s base cuts off the upper portion, as shown below.
a cone is shown. the top part of the cone is cut off to form a frustum. the frustum has a height of 6 and a radius of 4. the cone has a height of 3 and a radius of 2.
what is the volume of the frustum? leave the answer in terms of π.
π units3

Step-by-step explanation:

The formula for calculate the volume of a cone is:

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

Let's calculate the volume of the entire cone before the plane cut off the upper portion. You can identify that:

Therefore, substituting into the formula, you get:

Let's calculate the volume of the upper portion. You can identify that:

Therefore, this is:

Then, the volume of the frustum is:

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.