To explain: effect on the volume of a cone changing radius or changing the height.
Answer to Problem 30HP
Changing the radius has a greater effect on the volume of a cone.
Explanation of Solution
Given:
Condition: effect on the volume of a cone changing radius or changing the height
volume of cone is calculated as,
volume
So,
So the volume of cone is directly proportional to the square of radius and height.
So changing the radius has a greater effect on the volume of a cone.
Conclusion:
Thus, changing the radius has a greater effect on the volume of a cone.
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