2001 AMC 12 Problem 8
Below is the professionally curated solution for Problem 8 of the 2001 AMC 12, 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.
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Difficulty rating: 1350
8.
Which of the cones below can be formed from a sector of a circle of radius by aligning the two straight sides?
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
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