HMMT 二月 2016 · 冲刺赛 · 第 5 题
HMMT February 2016 — Guts Round — Problem 5
题目详情
英文原题
- [ 6 ] Patrick and Anderson are having a snowball fight. Patrick throws a snowball at Anderson which isshaped like a sphere with a radius of 10 centimeters. Anderson catches the snowball and uses the snowfrom the snowball to construct snowballs with radii of 4 centimeters. Given that the total volume ofthe snowballs that Anderson constructs cannot exceed the volume of the snowball that Patrick threw,
how many snowballs can Anderson construct?
解析
英文解析
- [ 6 ] Patrick and Anderson are having a snowball fight. Patrick throws a snowball at Anderson which isshaped like a sphere with a radius of 10 centimeters. Anderson catches the snowball and uses the snowfrom the snowball to construct snowballs with radii of 4 centimeters. Given that the total volume ofthe snowballs that Anderson constructs cannot exceed the volume of the snowball that Patrick threw,
how many snowballs can Anderson construct?
Proposed by:
Answer: 15
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10 1253 = = 15 .
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