Category: Mensuration

Question Number 112686 by ajfour last updated on 09/Sep/20 Commented by ajfour last updated on 14/Sep/20 $${If}\:\:{the}\:{material}\:{density}\:{of}\:{the}\:{solid} \\ $$$${sphere}\:{varies}\:{as}\:\:\boldsymbol{\rho}\:=\:\rho_{\mathrm{0}} \left(\frac{{r}}{{R}}\right)\mathrm{sin}\:\phi\mathrm{cos}\:^{\mathrm{2}} \theta\:, \\ $$$${find}\:{the}\:{average}\:{density}\:{in}\:{terms} \\ $$$${of}\:\rho_{\mathrm{0}}…

Question Number 47010 by ajfour last updated on 03/Nov/18 Commented by ajfour last updated on 03/Nov/18 $${Find}\:{maximum}\:{rectangular} \\ $$$${area}\:{and}\:\boldsymbol{{l}}\:\&\:\boldsymbol{{h}}\:\left({then}\right),\:{in}\:{terms} \\ $$$${of}\:{sides}\:{a},{b},{c}\:\:{of}\:\bigtriangleup{ABC}. \\ $$$$\left({with}\:{QR}\:\:{along}\:{BC}\right) \\ $$…

Question Number 177578 by BaliramKumar last updated on 07/Oct/22 Commented by BaliramKumar last updated on 07/Oct/22 area of green colour Commented by som(math1967) last updated on 07/Oct/22 $$\:\frac{\pi\sqrt{\mathrm{2}}}{\mathrm{2}}\:−\mathrm{1}\:?…

Question Number 111734 by Aina Samuel Temidayo last updated on 04/Sep/20 $$\mathrm{A}\:\mathrm{chord}\:\mathrm{which}\:\mathrm{is}\:\mathrm{a}\:\mathrm{perpendicular} \\ $$$$\mathrm{bisector}\:\mathrm{of}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{length}\:\mathrm{18cm}\:\mathrm{in}\:\mathrm{a} \\ $$$$\mathrm{circle},\:\mathrm{has}\:\mathrm{length}. \\ $$$$ \\ $$ Answered by Rasheed.Sindhi last updated…

Question Number 46085 by peter frank last updated on 20/Oct/18 Commented by maxmathsup by imad last updated on 21/Oct/18 $${let}\:{S}\:=\sum_{{n}=\mathrm{1}} ^{\infty} \:{cos}^{{n}} \theta\:{cos}\left({n}\theta\right)\:={Re}\left(\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{e}^{{in}\theta}…