Difference between revisions of "2021 JMPSC Sprint Problems/Problem 13"

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==Problem==
 
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Grace places a pencil in a cylindrical cup and is surprised to see that it fits diagonally. The pencil is <math>17</math> units long and of negligible thickness. The cup is <math>8</math> units tall. The volume of the cup can be written as <math>k \pi</math> cubic units. Find <math>k</math>.
 
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==Solution==
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asdf

Revision as of 22:23, 10 July 2021

Problem

Grace places a pencil in a cylindrical cup and is surprised to see that it fits diagonally. The pencil is $17$ units long and of negligible thickness. The cup is $8$ units tall. The volume of the cup can be written as $k \pi$ cubic units. Find $k$.

Sprint14.jpg

Solution

asdf