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Category: Geometry

Question-102241

Question Number 102241 by ajfour last updated on 07/Jul/20 Commented by ajfour last updated on 07/Jul/20 $${If}\:{the}\:{solid}\:{cylinder}\:{and}\:{sphere}\:{have} \\ $$$${the}\:{same}\:{density}\:,\:{find}\:{maximum} \\ $$$${R}\:{such}\:{that}\:{cylinder}\:{doesn}'{t}\:{topple}. \\ $$$${center}\:{of}\:{sphere}\:{is}\:{at}\:{a}\:{level}\:{of}\:{half} \\ $$$${the}\:{cylinder}\:{height}\:{h}.\:{radius}\:{of}…

Question-36314

Question Number 36314 by behi83417@gmail.com last updated on 31/May/18 Commented by behi83417@gmail.com last updated on 31/May/18 $${BD}={median},{BE}={angular}\:{bisector} \\ $$$${EF}\parallel{BD} \\ $$$${BF}=?\:\left({in}\:{term}\:{of}\:{A}\overset{\blacktriangle} {{B}C}\:{sides}\right) \\ $$$${spicial}\:{case}:\:{AB}−{AC}={d}\left(={const}.\right) \\…