Problem

Problem of the Day #96

POTD March 14, 2024

Alex and Jerry are having a snowball fight. Alex throws a snowball at Jerry which is shaped like a sphere with a radius of 10 centimeters. Jerry catches the snowball and uses the snow from the snowball to construct snowballs with radii of 4 centimeters. Given that the total volume of the snowballs that Jerry constructs cannot exceed the volume of the snowball that Alex threw, how many snowballs can Jerry construct?


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Problem Tags: 3-d Counting and probability Geometry

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