Difference between revisions of "AoPS Wiki talk:Problem of the Day/July 29, 2011"
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==Solution== | ==Solution== | ||
| − | <cmath> V_{(sphere)} = \frac{4}{3}\pi r^3 = 36\pi \Rightarrow r = 3 </cmath> <cmath> V_{(cube)}=s^3=27 </cmath> <cmath> V_{(sphere) \cap (cube)'} = 36\pi - 27 cm^3</cmath> | + | <cmath> V_{(sphere)} = \frac{4}{3}\pi r^3 = 36\pi \Rightarrow r = 3 </cmath> <cmath> V_{(cube)}=s^3=27 </cmath> <cmath> V_{(sphere) \cap (cube)'} = 36\pi - 27~ cm^3</cmath> |
![\[V_{(sphere)} = \frac{4}{3}\pi r^3 = 36\pi \Rightarrow r = 3\]](http://latex.artofproblemsolving.com/8/c/7/8c7000defea15e230bc55515989d68669401e2d8.png)
![\[V_{(cube)}=s^3=27\]](http://latex.artofproblemsolving.com/0/4/d/04d33ff88c729ad77ecb1e0325b783add7f361dd.png)
![\[V_{(sphere) \cap (cube)'} = 36\pi - 27~ cm^3\]](http://latex.artofproblemsolving.com/4/3/9/439b5317873c9e86da1aa5296a40455e95eec0e4.png)
