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IKMC 2011 - Grades 9-10 - Self-study Question 15

IKMC · IKMC 2011 - Grades 9-10 - Self-study

Question 15

A marble of radius 15 just fits the conical hole as shown. The axial side-view section is equilateral. How deep is the hole?

Question illustration
  1. $30\sqrt2$
  2. $25\sqrt3$
  3. 45
  4. 60
  5. $60(\sqrt3-1)$