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Question Number 49014 by peter frank last updated on 01/Dec/18

Commented by peter frank last updated on 01/Dec/18

$7 b 8 a 8 b$
	Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18

	$7 b) t o t a l s u r f a c e a r r a o f c o n e$ $= c u r v e d s u f a c e a r e a + c i r c u l a r b a s e a r e a$ $= π r l + π r^{2}$ $= π r (l + r)$ $= π (\frac{d}{2}) (l + \frac{d}{2})$ $= π (\frac{d}{2}) \times \frac{d}{2} (1 + l \times \frac{2}{d})$ $= π (\frac{d^{2}}{4}) (1 + \frac{2 l}{d})$ $p r o o f . .$ $c u r v e d s u r f a c e a r e a o f c o n e = π r l$ $i f y o u c u t c o n e y o u g e t a s e m i c i r c l e . .$ $s l a n t h e i g h t o f c o n e b e c o m e s t h e r a d i u s o f$ $s e m i c i r c l e$ $s o l = r_{c i r c l e}$ $2 π r_{c o n e} = π r_{c i r c l e}$ $2 r_{c o n e} = r_{c i r c l e}$ $a r e a o f s e m i c i r c l e = s l a n t s u r f a c e a r e a o f c o n e$ $\frac{π r_{c i r c l e}^{2}}{2} = s l a n s u r f a c e a r e a o f c o n e$ $= \frac{π r_{c i r c l e} \times r_{c i r c l e}}{2}$ $= \frac{π \times 2 r_{c o n e} \times l}{2}$ $= \frac{π \times d_{c o n e} \times l}{2}$ $p l s w a i t i a m a t t a c h i n g p i c t u r e . . .$
	Commented by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18

	Commented by peter frank last updated on 01/Dec/18

	$thank you very much sir$
	Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18

	$8 a) π r^{2} h - \frac{1}{3} π r^{2} h$
	Commented by peter frank last updated on 01/Dec/18

	$am getting r = 1.6229 am i correct ?$
	Commented by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18

	$i n q u e s t i o n 8 a) n o d i m e n s i o n i s g i v e n i n$ $f i g u r e . . . s o n o c o m m e n t s . . .$
	Commented by peter frank last updated on 01/Dec/18

	$okay sir thanks$
	Answered by tanmay.chaudhury50@gmail.com last updated on 01/Dec/18

	$8 b) t o t a l s u r f a c e a r e a o f c y l i n d e r$ $2 π r h + π r^{2} + π r^{2}$ $2 π r (h + r)$ $C_{b} (h + r) [C_{b} = 2 π r]$ $2 π r h \to c u r v e d s u r f a c e a r e a$ $π r^{2} + π r^{2} \to f o r t w o c i r c u l a r a r e a$
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