Deep Freeze






Deep Freeze


A ball, less than half submerged, is floating in a lake when the water freezes. The ball is removed leaving a hole 8 cm deep and a diameter of 24 cm at the top surface of the ice. What is the diameter of the ball?

Correct Solutions:


  1. Jack Lai. Los Altos HS, Hacienda Heights, CA
  2. Becky Cheng. Los Altos HS, Hacienda Heights, CA
  3. Angel Lin. Whittier Christian HS, Whittier, CA
  4. Frank Kuo. Los Altos HS, Hacienda Heights, CA
  5. Brain Yang. Los Altos HS, Hacienda Heights, CA
  6. Richard Cheng. Los Altos HS, Hacienda Heights, CA
  7. Arthur Chang. Los Altos HS, Hacienda Heights, CA
  8. Ranjini Krishnan. S.I.E.S. HS, Mumbai
  9. Kartik Krishnan. S.I.E.S. HS, Mumbai
  10. Adrian Caramaliu. I.L. Caragiale HS, Ploesti, Romania
  11. Paul Caramaliu. No. 5 School, Ploesti, Romania
  12. Alex Lorbert. Yeshivah of Flatbush, Brooklyn, NY
  13. Justin Lam. College Park HS, Pleasant Hill, CA
  14. Vasilica Caramaliu. I.L. Caragiale HS, Ploiesti, Romania
  15. Nick Westfahl. Maize HS, Maize, KS
  16. Tim Stonesifer. Freedom HS, Bethlehem, PA
  17. Scott Collings. Nevada HS, Nevada, IA
  18. Richard Heid. Lincoln Park HS, Chicago, IL
  19. Nasser S. Demir. American School of Kuwait, Kuwait City, Kuwait
  20. Amit Kakkar. Lake Highland Prep, Orlando, FL
  21. Wojciech Lewkowicz. Lemont HS, Lemont, IL
  22. Lilly Tenebruso. Monona Grove HS, Monona, WI
  23. Michael Moyer. Way Home School, Carlisle, PA
  24. Ashley Andrews. Cascade Christian Academy, Wenatchee, WA
  25. Dagfinn Johansen. As Videregaende Skole HS, As, Norway
  26. Koos van Zyl. Overkruin HS, Pretoria, South Africa
  27. Caleb Harms. Wheatland HS, Madrid, NE
  28. Paul Regier. Wheatland HS, Madrid, NE
  29. Ivy Palu. Wheatland HS, Madrid, NE
  30. April Johnson. Wheatland HS, Madrid, NE
  31. Huan Vo. Collins Hill HS, Suwanee, GA
  32. Paul Vernon. Maize HS, Maize, KS
  33. Teddy Schaffer. Westminster Schools, Atlanta, GA
  34. Karen Malis. Santa Ynez Valley Union HS, Santa Ynez, CA
  35. Kathleen Lysaught. Mannheim HS, Mannheim, Germany
  36. James Warren. Bishop Grandin HS, Calgary, Alberta, Canada
  37. Joel Merritt. Merritt Home School, Lutz, FL
  38. Caleb Laue. Wheatland HS, Madrid, NE
  39. Mathew Sobkowicz. St. Pius X HS, Ottawa, Ontario, Canada
  40. Joe Stark. Vero Beach HS, Vero Beach, FL
  41. JJ Murphy. Oblong HS, Oblong, IL
  42. Larry Kasoff. JP Stevens HS, Edison, NJ
  43. Todd Ramsey. Madisonville North Hopkins HS, Madisonville, KY
  44. Darren Kwong. South Pasadena MS, South Pasadena, CA
  45. Ross Harmes. Rickards HS, Tallahassee, FL
  46. Catherine Harrison. The Mount School, York, England, UK
  47. Tetsuya Matsuguchi. Centennial HS, Boise, ID
  48. Morgan Chen. Mt. Carmel HS, San Diego, CA
  49. Blake Hodgin. Moscow HS, Moscow, ID
  50. Sorin Ionescu. Ecole Secondaire Dorval, Dorval, Quebec, Canada
  51. Morris Chen. Mt. Carmel HS, San Diego, CA
  52. Junyong Pak. Haddon Township HS, Haddon Township, NJ
  53. Katya Permiakova. Lisgar Collegiate Institute, Ottawa, ON, Canada