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Question Number 41252 by ajfour last updated on 04/Aug/18

Commented by ajfour last updated on 04/Aug/18
$What fraction of volume of cup is filled ?$
$W h a t f r a c t i o n o f v o l u m e o f c u p$ $i s f i l l e d ?$
	Answered by MrW3 last updated on 05/Aug/18

	$v o l u m e o f c u p :$ $V_{c} = \frac{π h}{3} (a^{2} + b^{2} + a b)$ $v o l u m e o f w a t e r :$ $V_{w} = \frac{π h}{6} [a^{2} + {(\frac{a + b}{2})}^{2} + a (\frac{a + b}{2})] = \frac{π h}{24} (7 a^{2} + b^{2} + 4 a b)$ $\Rightarrow η = \frac{V_{w}}{V_{c}} = \frac{7 a^{2} + b^{2} + 4 a b}{8 (a^{2} + b^{2} + a b)}$
	Commented by ajfour last updated on 04/Aug/18

	$w e l l m a n a g e d S i r, f o r a = b$ $η = \frac{1}{2} . W o w! T h a n k s S i r .$
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