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Category: Mensuration

given-T-ABCD-is-pyramid-with-AB-BC-8-and-AT-6-P-is-midpoint-BC-Q-is-midpoint-AT-If-is-the-angle-between-TP-and-PQ-then-cos-is-

Question Number 77272 by jagoll last updated on 05/Jan/20 $$\mathrm{given}\:\mathrm{T}.\mathrm{ABCD}\:\mathrm{is}\:\mathrm{pyramid}\: \\ $$$$\mathrm{with}\:\mathrm{AB}\:=\:\mathrm{BC}\:=\:\mathrm{8}\:\mathrm{and}\:\mathrm{AT}\:=\:\mathrm{6} \\ $$$$\:.\:\mathrm{P}\:\mathrm{is}\:\mathrm{midpoint}\:\mathrm{BC},\:\mathrm{Q}\:\mathrm{is}\:\mathrm{midpoint}\:\mathrm{AT}. \\ $$$$\mathrm{If}\:\alpha\:\mathrm{is}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{TP}\:\mathrm{and} \\ $$$$\mathrm{PQ}\:\mathrm{then}\:\mathrm{cos}\:\alpha\:\mathrm{is}\:… \\ $$ Commented by john santu last…

Two-parallel-chords-of-length-24-cm-and-10-cm-which-lies-on-opposite-sides-of-a-circle-are-17-cm-apart-Calculate-the-radius-of-the-circle-to-the-nearest-whole-number-

Question Number 10846 by Saham last updated on 27/Feb/17 $$\mathrm{Two}\:\mathrm{parallel}\:\mathrm{chords}\:\mathrm{of}\:\mathrm{length}\:\mathrm{24}\:\mathrm{cm}\:\mathrm{and}\:\mathrm{10}\:\mathrm{cm}\:\mathrm{which}\:\mathrm{lies}\:\mathrm{on}\:\mathrm{opposite} \\ $$$$\mathrm{sides}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{are}\:\mathrm{17}\:\mathrm{cm}\:\mathrm{apart}.\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{whole}\:\mathrm{number}. \\ $$ Answered by mrW1 last updated on 27/Feb/17 $${r}^{\mathrm{2}} =\left(\frac{{l}}{\mathrm{2}}\right)^{\mathrm{2}}…

Question-141198

Question Number 141198 by ajfour last updated on 16/May/21 Commented by ajfour last updated on 17/May/21 $${Material}\:{volume}\:{of}\:{sphere} \\ $$$${minus}\:{ellipsoid}\:{is}\:\frac{\mathrm{4}}{\mathrm{3}}\pi{c}\:. \\ $$$${Find}\:{radius}\:{of}\:{sphere}\:{R}. \\ $$$${The}\:{ellipsoid}'{s}\:{radii}\:{are} \\ $$$$\:\:\:{r}_{\mathrm{1}}…

A-rectangular-building-was-constructed-and-its-height-was-twice-it-frontage-The-building-was-divided-into-parts-by-a-partition-that-is-30-feet-from-the-parallel-to-the-front-wall-If-the-near-partiti

Question Number 10022 by Tawakalitu ayo mi last updated on 21/Jan/17 $$\mathrm{A}\:\mathrm{rectangular}\:\mathrm{building}\:\mathrm{was}\:\mathrm{constructed}\:\mathrm{and} \\ $$$$\mathrm{its}\:\mathrm{height}\:\mathrm{was}\:\mathrm{twice}\:\mathrm{it}\:\mathrm{frontage}.\:\mathrm{The}\:\mathrm{building} \\ $$$$\mathrm{was}\:\mathrm{divided}\:\mathrm{into}\:\mathrm{parts}\:\mathrm{by}\:\mathrm{a}\:\mathrm{partition}\:\mathrm{that}\:\mathrm{is} \\ $$$$\mathrm{30}\:\mathrm{feet}\:\mathrm{from}\:\mathrm{the}\:\mathrm{parallel}\:\mathrm{to}\:\mathrm{the}\:\mathrm{front}\:\mathrm{wall}.\:\mathrm{If} \\ $$$$\mathrm{the}\:\mathrm{near}\:\mathrm{partition}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bulding}\:\mathrm{is}\:\mathrm{3500}\:\mathrm{feet}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{dimension}\:\mathrm{of}\:\mathrm{the}\:\mathrm{building}. \\ $$ Terms…