Problem of the Week

A new problem every Monday that challenges participants of all ages to think creatively and apply their math skills. Perfect for a weekly mental challenge.

Hollow Cone

Posted: June 24, 2024

57 % of users got this correct

A hollow right circular cone has a height which is three times its radius. If the cone’s circular base is set on a table and the cone is filled with water so that the height of the water is two-thirds the height of the cone, then what is the ratio of the volume of the water to the volume of the cone? Express your answer as a decimal rounded to the nearest hundredth.

Problem submitted by Mike Schieffer, Austin, TX

View Past Problems