Cone Angle Maximum Volume Confusion

when youre trying to figure out what angle the top part of a cone has to be so that the cone has maximal volume given a fixed lateral height V = 1/3 πr² · h sin cos tan 30° 45° 60° y = ax² + bx + c (x₁, x₂) = (-b ± √Δ) / 2a Δ = √b² − 4ac 30° 45° 45° 60° √3 √2 √3 / 2 1 / 2 √2 / 2 1 / 2 1 / √3 1 √3 30° 45° 45° √3 √2 √2 √3

A four-panel reaction image shows a woman looking increasingly confused while mathematical formulas, trigonometric tables, and a cone diagram surround her. The joke is that finding the cone angle that maximizes volume under a fixed slant height feels so complicated that even familiar formulas become overwhelming; people send it as a reaction to difficult math or an absurdly complicated problem. EN: A four-panel reaction image shows a woman looking increasingly confused while mathematical formulas, trigonometric tables, and a cone diagram surround her. The joke is that finding the cone angle that maximizes volume under a fixed slant height feels so complicated that even familiar formulas become overwhelming; people send it as a reaction to difficult math or an absurdly complicated problem.

• @memetutorial / 15922 2022-01-28