HMMT 二月 1998 · 几何 · 第 4 题
HMMT February 1998 — Geometry — Problem 4
题目详情
英文原题
Question Four . [4 points]
A cube with side length 100 cm is filled with water and has a holethrough which the water drains into a cylinder of radius 100 cm. Ifthe water level in the cube is falling at a rate of 1 , how fast iscmsthe water level in the cylinder rising?
解析
英文解析
- The cylinder has a cross-sectional area π times greater than the cube, so the water raisesπ
1 cmtimes as quickly in the cylinder as it lowers in the cube; that is, at .
π s