Question

So when finding the top and bottom integral of a right circular cone, how do I determine the lowest and highest numbers? I need some clarification.

A. The lowest number is the radius of the base, and the highest number is the slant height.

B. The lowest number is the slant height, and the highest number is the radius of the base.

C. The lowest number is zero, and the highest number is the height of the cone.

D. The lowest number is the radius of the base, and the highest number is the height of the cone.

Answer 1

The lowest number is the radius of the base, and the highest number is the height of the cone.

Step-by-step explanation:

The correct answer is D. The lowest number is the radius of the base, and the highest number is the height of the cone.

When finding the top and bottom integral of a right circular cone, the lowest number represents the starting point and the highest number represents the ending point. In this case, the lowest number is the radius of the base because it represents the minimum value of the integral. The highest number is the height of the cone because it represents the maximum value of the integral.

For example, if we are finding the volume of the cone from the base to the top, we would set up the integral with the limits from the radius of the base to the height of the cone.