2001 AMC 12 Problem 8
Attempt Problem 8 of the 2001 AMC 12 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 2001 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
8.
Which of the cones below can be formed from a sector of a circle of radius by aligning the two straight sides?
Answer: C
Small hint:
The radius of the sector becomes the slant height of the cone, so the slant height is
Big hint:
The arc length of the sector becomes the base circumference:
Solution:
When the sector is rolled into a cone, its radius becomes the slant height, and its arc becomes the base circle.
The arc length is so the base circumference is and the base radius is
The cone therefore has base radius and slant height which is choice C.
Thus, the correct answer is C.
Problem 8 in other years
- 1950 AMC 12
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