A cone and a cylinder have the same base radius and height. If the volume of the cylinder is 300π in³, what is the volume of the cone?
Options
A
100π in³
B
150π in³
C
200π in³
D
300π in³
Answer & Analysis
Answer
A
Analysis
Question Analysis
This is a comparison question between the volume of a cone and a cylinder with the same base and height.
The main focus is on understanding the volume relationship between cones and cylinders.
Key Concept Explanation
A cone and a cylinder with the same base and height follow this ratio:
This is because the cone occupies one-third the space of the cylinder with the same base and height.
Step-by-Step Solution
Given:
Cylinder volume =
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