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Question Number 189710 by Mastermind last updated on 20/Mar/23

	Answered by aleks041103 last updated on 20/Mar/23

	$V (12) = V (21) - V (21 - 15) = V (21) - V (6)$ $V (12) = 2 V (6)$ $\Rightarrow \frac{3}{2} V (12) = V (21) \Rightarrow V (12) = \frac{2}{3} V (21)$ $\Rightarrow t h e w a t e r i s \frac{2}{3} o f t h e b o t t l e$ $N o t e 1 : V (x) i s t h e v o l u m e o f w a t e r f o r$ $x c m o f w a t e r i n t h e b o t t l e t h e r i g h t w a y u p .$ $N o t e 2 : W e s u p p o s e t h a t f o r x ⩽ 12 c m$ $t h e b o t t l e i s c y l l i n d r i c a l a n d s o$ $V (x) i s l i n e a r f o r x < 12 c m .$
	Answered by mr W last updated on 20/Mar/23

	$f r o m p i c t u r e 1 : 12 c m w a t e r$ $f r o m p i c t u r e 2 : 6 c m a i r$ $\Rightarrow v o l u m e o f w a t e r i s 2 t i m e s o f$ $t h e v o l u m e o f a i r$ $\Rightarrow i n t h e b o t t l e 2 / 3 i s w a t e r a n d$ $1 / 3 i s a i r .$
	Answered by manolex last updated on 21/Mar/23

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