1992 AMC 8 Problem 16
Attempt Problem 16 of the 1992 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1992 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
Which cylinder has twice the volume of the cylinder shown at right?
None of the above
Small hint:
The volume of a cylinder is ; first compute the volume of the given cylinder
Big hint:
Doubling the height doubles the volume, but doubling the radius multiplies the volume by ; check the and labels on each choice
Solution:
The given cylinder has volume so a cylinder of twice the volume has volume
The choices have volumes (A), (B), (C), and (D). Only (B) equals
Thus, the correct answer is B .
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
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