PUMaC 2021 · 几何（B 组） · 第 2 题

PUMaC 2021 — Geometry (Division B) — Problem 2

A right cylinder is given with a height of 20 and a circular base of radius 5 . A vertical planar cut is made into this base of radius 5 . A vertical planar cut, perpendicular to the base, is made into this cylinder, splitting the cylinder into two pieces. Suppose the area the cut leaves √ behind on one of the pieces is 100 2. Then the volume of the larger piece can be written as a + bπ, where a, b are positive integers. Find a + b.

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