Cylinder — AMC & AIME Problems | LIVE by Po-Shen Loh

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Cylinder — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Cylinder — a geometry concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.

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AMC 8

1992 AMC 8 Problem 16 • 2008 AMC 8 Problem 21 • 2019 AMC 8 Problem 9

AMC 10

2001 AMC 10 Problem 21 • 2004 AMC 10A Problem 11 • 2004 AMC 10A Problem 19 • 2008 AMC 10B Problem 19 • 2015 AMC 10A Problem 9 • 2017 AMC 10A Problem 11 • 2021 AMC 10B Spring Problem 10

AMC 12

1951 AMC 12 Problem 23 • 1952 AMC 12 Problem 41 • 1960 AMC 12 Problem 23 • 1986 AMC 12 Problem 18 • 1991 AMC 12 Problem 8 • 2004 AMC 12A Problem 9 • 2007 AMC 12B Problem 19 • 2015 AMC 12A Problem 7 • 2017 AMC 12A Problem 8 • 2021 AMC 12B Spring Problem 6

AIME

2003 AIME I Problem 5 • 2003 AIME II Problem 5 • 2004 AIME I Problem 14 • 2015 AIME I Problem 15

More geometry concepts

3D geometry altitude angle bisector angle bisector theorem angle chasing angle sum annulus arc area area decomposition area ratio Brahmagupta’s Formula British Flag Theorem centroid Ceva’s Theorem chord circle circle area circumcircle, circumcenter, and circumradius circumference cone congruence (geometry)coordinate geometry cube geometry cyclic quadrilateral diagonal distance formula ellipse equiangular polygon equilateral triangle Euler’s Polyhedron Formula Heron’s Formula homothety hyperbola incircle, incenter, and inradius inscribed angle isosceles triangle kite lattice point law of cosines law of sines mass points median (geometry)midpoint net (3D geometry)paper folding parabola parallel lines parallelogram perimeter perpendicular bisector Pick’s Theorem polyhedron power of a point power scaling of length, area, and volume Ptolemy’s Theorem pyramid Pythagorean Theorem Pythagorean Triple radical axis rectangle rectangular prism reflection (geometry)regular polygon rhombus right triangle sector shoelace formula similarity special right triangle sphere square (geometry)Stewart’s Theorem surface area tangent circles tangent line transformation trapezoid triangle area triangle inequality trigonometric identity trigonometry vector Viviani’s Theorem volume