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Question-47595




Question Number 47595 by ajfour last updated on 12/Nov/18
Commented by ajfour last updated on 12/Nov/18
Regarding Q.47497 (some analysis)  Also see diagram of Q.47599   for part of solution(section A).
$${Regarding}\:{Q}.\mathrm{47497}\:\left({some}\:{analysis}\right) \\ $$$${Also}\:{see}\:{diagram}\:{of}\:{Q}.\mathrm{47599}\: \\ $$$${for}\:{part}\:{of}\:{solution}\left({section}\:{A}\right). \\ $$
Commented by mr W last updated on 13/Nov/18
sir, I think the shape of shadow from  the top (circle) of the cylinder is an  ellipse (circle is also an ellipse).  If an oblique cone with elliptical base  is cut by a plane parallel to the base,  then the section is also an ellipse, I  think.
$${sir},\:{I}\:{think}\:{the}\:{shape}\:{of}\:{shadow}\:{from} \\ $$$${the}\:{top}\:\left({circle}\right)\:{of}\:{the}\:{cylinder}\:{is}\:{an} \\ $$$${ellipse}\:\left({circle}\:{is}\:{also}\:{an}\:{ellipse}\right). \\ $$$${If}\:{an}\:{oblique}\:{cone}\:{with}\:{elliptical}\:{base} \\ $$$${is}\:{cut}\:{by}\:{a}\:{plane}\:{parallel}\:{to}\:{the}\:{base}, \\ $$$${then}\:{the}\:{section}\:{is}\:{also}\:{an}\:{ellipse},\:{I} \\ $$$${think}. \\ $$
Commented by mr W last updated on 12/Nov/18

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