8
QuizMultiple Choice

Introduction to the Volume of a Cone — Quiz

Question 8 • Foundations of Math 1

Jalen says that the height, radius, and diameter of a cone lie entirely on the base of the cone. What is Jalen’s error?

Answer
A
The diameter does not lie on the base because it contains a radius of the circle.
B
The height does not lie on the base because it is perpendicular to the base.
C
The base does not contain the height, the radius, or the diameter because it is a circle.
D
The radius does not lie on the base because it contains the center of the base.

Explanation

A cone’s radius and diameter are segments in its circular base. Its height, however, runs from the base to the vertex and is perpendicular to the base; it is not entirely on the base. Therefore, Jalen’s error is saying that the height lies entirely on the base. The correct choice is “The height does not lie on the base because it is perpendicular to the base.”

AI-written and checked against the verified answer.

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