Difference between revisions of "1991 AHSME Problems/Problem 8"
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== Solution == | == Solution == | ||
| − | <math>\fbox{C}</math> | + | <math>\fbox{C}</math> The volume of liquid <math>X</math> is <math>6 \times 3 \times 12 = 216</math>, so if the radius is <math>r</math>, then using the formula for the volume of a cylinder, we get <math>\pi r^2 \times 0.1 = 216 \implies \pi r^2 = 2160 \implies r = \sqrt{\frac{2160}{\pi}}.</math> |
== See also == | == See also == | ||
Revision as of 16:21, 23 February 2018
Problem
Liquid 
does not mix with water. Unless obstructed, it spreads out on the surface of water to form a circular film 
cm thick. A rectangular box measuring 
cm by 
cm by 
cm is filled with liquid . Its contents are poured onto a large body of water. What will be the radius, in centimeters, of the resulting circular film?
(A) 
(B) 
(C) 
(D) 
(E) 
Solution
The volume of liquid is 
, so if the radius is 
, then using the formula for the volume of a cylinder, we get 
See also
| 1991 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
