How to determine the volume of a cone by finding the height first

The video tutorial explains how to find the volume of a cone. It begins by introducing the problem and the formula for the volume of a cone, which is 1/3 times the area of the base times the height. The tutorial then focuses on finding the radius of the base using trigonometric functions, specifically the tangent of 66 degrees, as the given triangle is not a special right triangle. After calculating the radius, the tutorial demonstrates how to plug the values into the volume formula to find the final volume of the cone, which is 1,206.4 cubic millimeters.

What is the formula for calculating the volume of a cone?

How do you determine the area of the base of a cone?

What is the height of the cone in this example?

How do you find the radius (r) of the cone using the given triangle?

What is the final volume of the cone calculated in the example?