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GeometryQuestion and Answers: Page 87

Question Number 48567    Answers: 0   Comments: 1

Question Number 48560    Answers: 1   Comments: 1

Question Number 48522    Answers: 1   Comments: 1

Question Number 48466    Answers: 1   Comments: 0

Question Number 48460    Answers: 1   Comments: 2

$${A}\:{point}\:{source}\:{has}\:{a}\:{distance}\:{d} \\ $$$${to}\:{the}\:{center}\:{of}\:{a}\:{big}\:{sphere}\:{with}\:{radius} \\ $$$${R}.\:\:{An}\:{other}\:{smaller}\:{sphere}\:{with}\:{radius} \\ $$$${r}\:{is}\:{placed}\:{between}\:{the}\:{point}\:{source} \\ $$$${and}\:{the}\:{big}\:{sphere}.\:{If}\:{the}\:{distance} \\ $$$${between}\:{the}\:{two}\:{spheres}\:{is}\:{constant}, \\ $$$${say}\:{it}'{s}\:{c}.\: \\ $$$${Find}\:{the}\:{maximal}\:{shadow}\:{area}\:{of}\:{the} \\ $$$${small}\:{sphere}\:{on}\:{the}\:{surface}\:{of}\:{the} \\ $$$${big}\:{sphere}.\:{Find}\:{also}\:{the}\:{minimal} \\ $$$${complete}\:{shadow}\:{of}\:{the}\:{small}\:{sphere} \\ $$$${on}\:{the}\:{surface}\:{of}\:{the}\:{big}\:{sphere}. \\ $$$$ \\ $$$${Assume}\:{the}\:{small}\:{sphere}\:{is}\:{much} \\ $$$${smaller}\:{than}\:{the}\:{big}\:{sphere}\:{such}\:{that} \\ $$$${the}\:{big}\:{sphere}\:{will}\:{never}\:{completely}\:{stay} \\ $$$${in}\:{the}\:{shadow}\:{of}\:{the}\:{small}\:{sphere}. \\ $$

Question Number 48388    Answers: 2   Comments: 1

Question Number 48384    Answers: 1   Comments: 1

Question Number 48324    Answers: 0   Comments: 6

Question Number 48196    Answers: 1   Comments: 1

Question Number 48129    Answers: 1   Comments: 0

$$\mathrm{how}\:\mathrm{we}\:\mathrm{can}\:\mathrm{show}\:\:\:_{\mathrm{3}_{\sqrt{\mathrm{2}}} } \:\:\mathrm{on}\:\mathrm{axis}? \\ $$

Question Number 48052    Answers: 2   Comments: 1

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Question Number 47883    Answers: 2   Comments: 1

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Question Number 47697    Answers: 1   Comments: 1

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Question Number 47657    Answers: 1   Comments: 7

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