Question

solve plzzzzz... ..​

Answer 1

$\large{\red{\bold{\underline{Given:}}}}$

$\sf \: Radius \: of \: the \: cylinder = 49cm \\ \\ \sf \: Height \: of \: cylinder = 49cm$

$\large{\green{\bold{\underline{To \: Find:}}}}$

$\sf \: (i) \: Total \: surface \: area \: of \: cylinder \\ \\ \sf \: (ii) \: Curved \: surface \: area \: of \: cylinder$

$\large{\blue{\bold{\underline{Formula \: Used:}}}}$

$\sf \: Total \: surface \: area = 2\pi r(r + h) \\ \\ \sf \: Curved \: surface \: area = 2\pi rh$

$\large{\red{\underline\bold{{Solution:}}}}$

$\sf \: Let \: the \: radius \: of \: the \: cylinder \: be \: r, \\ \sf \: and \: the \: height \: of \: the \: cylinder \: as \: h$

$\large{\green{\bold{\underline{Then:}}}}$

$\sf \: (i) \: Total \: surface \: area = 2\pi r(r + h) \\ \\ \rightarrow \: \sf Total \: surface \: area = 2 \times \frac{22}{7} \times 49(49 + 49) \\ \\ \rightarrow \: \sf Total \: surface \: area = 2 \times \frac{22}{7} \times 49(98) \\ \\ \rightarrow \: \sf \: Total \: surface \: area = \frac{44}{\cancel7} \times \cancel49 \times 98 \\ \\ \rightarrow \: \sf \: Total \: surface \: area = 44 \times 7 \times 98 \\ \\ \rightarrow \: \sf \: Total \: surface \: area = 30,184 \: {cm}^{2}$

$\large{\pink{\bold{\underline{Now:}}}}$

$\sf \: (ii) \: Curved \: surface \: area = 2\pi rh \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 2 \times \frac{22}{7} \times 49 \times 49 \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 2 \times \frac{22}{\cancel7} \times \cancel49 \times 49 \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 44 \times 7 \times 49 \\ \\ \rightarrow \: \sf \: Curved \: surface \: area = 15,092\: {cm}^{2}$

$\large{\orange{\bold{\underline{Therefore:}}}}$

$\sf \: The \: total \: surface \: area \: of \: cylinder \: is \\ \sf \: 30,184{cm}^{2} \: and \: curved \: surface \: area \: is \: 15,092 {cm}^{2}.$

Answer 2

$\huge\mathcal{\mid{\mid{\underline{\green{Good\:Morning\:}}}{\mid{\mid}}}}$

Qᴜᴇsᴛɪᴏɴ ;-

❥︎ Solve for total surface area and curved surface area of a cylinder of which height and radius both is 49cm.

$\huge{\orange{\boxed{\fcolorbox{lime}{indigo}{\color{aqua}ANSWER}}}}$

$\Large\bf\orange{GiVeN,}$

• $\bf\red{Height\: of\: cylinder}$ = 49cm

• $\bf\red{Radius\: of\: cylinder}$ = 49cm

$\Large\bf\pink{We\: know\: that,}$

$\orange\bigstar\:{\boxed{\blue{\bf{Total\: Surface\: Area\:=\:2\pi{r}(h\:+\:r)}}}}$

$:\implies\:\sf{Total\: Surface\: Area\:=\:2\times{\dfrac{22}{7}}\times{49}\:(49\:+\:49)}$

$:\implies\:\sf{Total\: Surface\: Area\:=\:2\times{22}\times{7}\times{98}}$

$:\implies\:\bf\green{Total\: Surface\: Area\:=\:30,184\:cm^2}$

$\Large\bf\red{Again,}$

$\blue\bigstar\:{\boxed{\orange{\bf{Curved\: Surface\: Area\:=\:2\pi{r}h}}}}$

$:\implies\:\sf{Curved\: Surface\: Area\:=\:2\times{\dfrac{22}{7}}\times{49}\times{49}}$

$:\implies\:\sf{Curved\: Surface\: Area\:=\:2\times{22}\times{7}\times{49}}$

$:\implies\:\bf\green{Curved\: Surface\: Area\:=\:15,092\:cm^2}$