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Brainteasers



Brainteasers keep the mind well-greased.

So here's a riddle you may like: 

Drill a hole through a sphere such that the height of what remains of the sphere is 10cm. What is its remaining volume?
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Answer:
The volume of a sphere is (4/3)π r³

 Assume any values of the sphere's radius and the hole's radius that are consistent with a 10 cm wall of the hole. So what if we assume the hole is infinitesimally small, i.e. zero?  That surely works, and the answer is simple: the volume of a 10 cm diameter sphere! Which is around 524 cm cube. 


Note: I found this randomly in a magazine today and spent 5 minutes remembering the volume of sphere formula, but it was all worth it in the end.

Too easy, huh?

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