211k views
3 votes
Jorge thinks that the higher the height of the cone, the greater the volume. Todd thinks that the larger the radius of the cone, the greater the volume. Who is correct?

A. Jorge is correct.
B. Todd is correct.
C. Both Jorge and Todd are correct.
D. It depends on the specific scenario.

1 Answer

3 votes

Final answer:

D. It depends on the specific scenario.

Step-by-step explanation:

The correct answer is D. It depends on the specific scenario. Let's consider each statement:

Jorge thinks that the higher the height of the cone, the greater the volume. This is incorrect. The height of the cone does not directly affect its volume. For example, two cones with different heights but the same base area and radius will have the same volume.

Todd thinks that the larger the radius of the cone, the greater the volume. This is correct. The volume of a cone is directly proportional to the square of its radius. If we compare two cones with the same height but different radii, the cone with the larger radius will have a greater volume.

Therefore, Todd is correct. The larger the radius of the cone, the greater the volume.

User Didjit
by
7.7k points