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#39234

geometry

volume

hard

120 sec

Calculator OK

A cylindrical container has a base radius of $r$ and a height of $h$ . A solid cone with the same base radius $r$ and the same height $h$ is placed inside the cylinder, with its base perfectly aligned with the cylinder's base. What fraction of the cylinder's volume is not occupied by the cone?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.