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Category: Geometry

Question-23170

Question Number 23170 by ajfour last updated on 26/Oct/17 Commented by ajfour last updated on 26/Oct/17 $${Q}.\mathrm{23162}\:\:\left({explanation}\right) \\ $$$${If}\:\bigtriangleup{ABD}\:\sim\:\bigtriangleup{ABC}\:\:{then}\:{no} \\ $$$${place}\:{for}\:{D}\:{in}\:{the}\:{inside}\:{of} \\ $$$$\bigtriangleup{ABC}\:. \\ $$…

Find-the-minimum-surface-area-of-a-solid-circular-cylinder-if-its-volume-is-16pi-cm-3-leave-your-answer-in-terms-of-pi-

Question Number 23133 by tawa tawa last updated on 26/Oct/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{surface}\:\mathrm{area}\:\mathrm{of}\:\mathrm{a}\:\mathrm{solid}\:\mathrm{circular}\:\mathrm{cylinder}\:,\:\:\mathrm{if}\:\mathrm{its}\:\mathrm{volume}\:\mathrm{is} \\ $$$$\mathrm{16}\pi\:\mathrm{cm}^{\mathrm{3}} \:\:\:\left(\mathrm{leave}\:\mathrm{your}\:\mathrm{answer}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\pi\right) \\ $$ Answered by ajfour last updated on 26/Oct/17 $${S}=\mathrm{2}\pi{rh}+\mathrm{2}\pi{r}^{\mathrm{2}} \\…

Question-88541

Question Number 88541 by ajfour last updated on 11/Apr/20 Commented by ajfour last updated on 11/Apr/20 $${The}\:{two}\:{shown}\:{spheres},\:{each}\:{of} \\ $$$${radius}\:{r}\:{are}\:{tangent}\:{to}\:{each}\:{other} \\ $$$${and}\:{to}\:{the}\:{faces}\:{of}\:{a}\:{dihedral}\: \\ $$$${angle}\:\alpha.\:{Find}\:{the}\:{radius}\:{of}\:{the} \\ $$$${sphere}\:{that}\:{is}\:{tangent}\:{to}\:{the}…