We can make a cyllinder from a rectangle by connecting its opposite edges. Suppose we have two copies of a non−square rectangle.From one copy we make a long cyllinder by connecting long edges of it whereas from other copy by connecting short edges a short cyllinder is made. Compare the volumes of these two cyllinders.


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Question Number 3950 by Rasheed Soomro last updated on 25/Dec/15

$W e c a n m a k e a c y l l i n d e r f r o m a$ $r e c t a n g l e b y c o n n e c t i n g i t s o p p o s i t e$ $e d g e s .$ $S u p p o s e w e h a v e t w o c o p i e s o f a$ $n o n - s q u a r e r e c t a n g l e . F r o m$ $o n e c o p y w e m a k e a l o n g c y l l i n d e r$ $b y c o n n e c t i n g l o n g e d g e s o f i t$ $w h e r e a s f r o m o t h e r c o p y b y c o n n e c t i n g$ $s h o r t e d g e s a s h o r t c y l l i n d e r i s m a d e .$ $C o m p a r e t h e v o l u m e s o f t h e s e t w o$ $c y l l i n d e r s .$
	Answered by prakash jain last updated on 25/Dec/15

	$a = l e n g t h, b w i d t h$ $c a s e i : r a d i u s = \frac{a}{2 π}, volume = π \frac{a^{2}}{4 π^{2}} b = \frac{a^{2} b}{4 π}$ $c a s e i i : r a d i u s = \frac{b}{2 π}, volume = π \frac{b^{2}}{4 π^{2}} a = \frac{b^{2} a}{4 π}$ $r a t i o = \frac{a}{b}$
	Commented by Rasheed Soomro last updated on 25/Dec/15

	$T h α n k S!$ $I t m e a n s c y l l i n d e r o f g r e a t e r h e i g h t h a s$ $s m a l l v o l u m e .$ $\frac{C y l l i n d e r o f h e i g h t b}{C y l l i n d e r o f h e i g h t a} = \frac{a}{b}$
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