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Category: Geometry

Question-47735

Question Number 47735 by behi83417@gmail.com last updated on 14/Nov/18 Commented by mr W last updated on 14/Nov/18 $${we}\:{only}\:{need}\:{to}\:{know}\:{the}\:{distances}\:{to} \\ $$$${three}\:{vertexes}.\:{the}\:{distance}\:{to}\:{the} \\ $$$${fourth}\:{vertex}\:{is}\:{not}\:{independent}. \\ $$ Commented…

Question-47713

Question Number 47713 by ajfour last updated on 13/Nov/18 Commented by ajfour last updated on 13/Nov/18 $${If}\:{cylinder}\:{has}\:{length}\:{L},\:{find} \\ $$$${how}\:{much}\:{area}\:{of}\:{cylinder} \\ $$$${receives}\:{light}\:{from}\:{the}\:{point} \\ $$$${source}\:{at}\:{a}\:{distance}\:{d}\:{and}\:{at} \\ $$$${same}\:{level}\:{h}={R}\:{as}\:{its}\:{axis}.…

Question-47697

Question Number 47697 by ajfour last updated on 13/Nov/18 Commented by ajfour last updated on 13/Nov/18 $${The}\:{blue}\:{sphere}\:{touches}\:{the} \\ $$$${xy},\:{yz},\:{zx},\:{and}\:{the}\:{triangular} \\ $$$${plate},\:{while}\:{the}\:{smaller}\:{pink} \\ $$$${sphere}\:{touches}\:{the}\:{yz},\:{zx},\:{larger} \\ $$$${sphere},\:{and}\:{the}\:{triangular}\:{plate}.…

Question-47657

Question Number 47657 by behi83417@gmail.com last updated on 12/Nov/18 Commented by mr W last updated on 13/Nov/18 $${dear}\:{father}\:{from}\:{Behi}: \\ $$$${it}\:{took}\:{me}\:{some}\:{time},\:{but}\:{I}\:{could}\:{finally} \\ $$$${find}\:{the}\:{old}\:{question}\:#\mathrm{15969}\:{where} \\ $$$${this}\:{interesting}\:{question}\:{was}\:{once} \\…

Question-47659

Question Number 47659 by behi83417@gmail.com last updated on 12/Nov/18 Answered by ajfour last updated on 13/Nov/18 $${Eq}.\:{of}\:{tangent}: \\ $$$$\frac{{xx}_{\mathrm{1}} }{{a}^{\mathrm{2}} }+\frac{{yy}_{\mathrm{1}} }{{b}^{\mathrm{2}} }=\mathrm{1} \\ $$$${A}\left(\frac{{a}^{\mathrm{2}}…

Question-47497

Question Number 47497 by MrW3 last updated on 10/Nov/18 Commented by MrW3 last updated on 10/Nov/18 $${Find}\:{the}\:{area}\:{of}\:{the}\:{shadow}\:{of}\:{the} \\ $$$${cylinder}\:{produced}\:{by}\:{a}\:{point}\:{source}\:{of} \\ $$$${light}\:{S}. \\ $$$$ \\ $$$${see}\:{also}\:{Q}\mathrm{47449}.…

Question-47449

Question Number 47449 by ajfour last updated on 10/Nov/18 Commented by ajfour last updated on 10/Nov/18 $${Find}\:{the}\:{area}\:{of}\:{the}\:{shadow}\:{of} \\ $$$${the}\:{right}\:{circular}\:{cone}\:\left({not}\right. \\ $$$$\left.{including}\:{its}\:{base}\:{area}\right). \\ $$$${S}\:{is}\:{a}\:{point}\:{source}\:{of}\:{light},\:{at} \\ $$$${a}\:{distance}\:{d}\:{from}\:{center}\:{of}…