Problem

2001 AMC 10 Problem 17

Which of the cones listed below can be formed from a 252^\circ sector of a circle of radius 10 by aligning the two straight sides?

[asy]import graph;unitsize(1.5cm);defaultpen(fontsize(8pt));draw(Arc((0,0),1,-72,180),linewidth(.8pt));draw(dir(288)--(0,0)--(-1,0),linewidth(.8pt));label("$10$",(-0.5,0),S);draw(Arc((0,0),0.1,-72,180));label("$252^{\circ}$",(0.05,0.05),NE);[/asy]

\textbf{(A) } \text{A cone with slant height of 10 and radius 6}

\textbf{(B) } \text{A cone with height of 10 and radius 6}

\textbf{(C) } \text{A cone with slant height of 10 and radius 7}

\textbf{(D) } \text{A cone with height of 10 and radius 7}

\textbf{(E) } \text{A cone with slant height of 10 and radius 8}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


Show/Hide Problem Tags

Problem Tags: Geometry
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Category: AMC 10
Points: 3
Back to practice
Train more like this