Question

the csa of cylinder is 484 and height is 5.5 find radius ​

Answer 1

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Answer 2

$\setlength{\unitlength}{1 cm} \thicklines \begin{picture}(2,0)\qbezier(0,0)(0,0)(0,2.5)\qbezier(2,0)(2,0)(2,2.5)\qbezier(0,0)(1,1)(2,0)\qbezier(0,0)( 1, - 1)(2,0) \put(2.3,1){\vector(0,1){1.5}}\put(2.3,1){\vector(0, - 1){1.2}}\put(2.3,1){ \bf 5.5 \ cm }\put(0.3,0.1){ \bf r }\put(0,0){\vector(1,0){1}} \put( - 1.5, - 1.2){ \large{ \boxed{ \bold{curved \ surface \ area = 484 \ {cm}^{2} }}} }\qbezier(0,2.5)(1,1.5)(2,2.5)\qbezier(0,2.5)(1, 3.5)(2,2.5)\end{picture}$

${ \rm{ \large \blue{ given \colon}}}$

${ \rm{ the \: curve \: surface \: area \: of \: cylinder \: is = {484cm}^{2} }}$

${ \rm{and \: its \: height \: is = 5.5 \: cm}}$

${ \rm{ \large \blue{to \: find}}}$

${ \rm{the \: radius \: of \: the \: cylinder}}$

${ \rm{ \large \blue{solution}}}$

${ \rm{curve \: surface \: area = {484 \: cm}^{2} }}$

${ \rm{ \implies2 \pi rh = 484}}$

${ \rm{ \implies2 \times \frac{22}{7} \times r \times h = 484}}$

${ \rm{ \implies r = \frac{484 \: \times 7 \: \times 10}{2 \times \: 22 \: \times 55}}}$

${ \rm{ \implies r = 14 \: cm}}$

${ \rm{Ans \colon so \: the \: value \: of \: r = 14 \: cm}}$

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${ \rm{ \large{extra \: info}}}$

$\large \underline {cylinder}$

${ \rm{curve \: surfce \: area = 2 \pi rh}}$

${ \rm{total\: area = 2 \pi r(r + h)}}$

${ \rm{volume = \pi {r}^{2} h}}$

${ \rm{area \: of \: cross \: sec. = \pi {r}^{2} }}$

${ \rm{perimeter = 2\pi r}}$