Question

The volume of a right circular cone increased by a factor of 25. If the height remained fixed, by what factor was the radius changed? A. 5 B. 25 C. 125 D. 225

Answer 1

Explanation:

The appropriate formula is V = (1/3)(base area)(height), or V = (1/3)πr²h.

Then the larger cone volume is V2 = (1/3)πR²h, where h, (1/3), the same in as before but V is 25 times greater:

25V = (1/3)πR²h, which is to be compared to V = (1/3)πr²h. Forming a ratio:

25V = (1/3)πR²h

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V (1/3)πr²h

Simplifying; 25 = R²r², or 5 = R/r. Thus, the new radius is 5 times the old one. Answer A is correct

Answer 2

A

Explanation:

I took the quiz on EDGE 2022. :)))