Question

answer that question given above.​

Answer 1

Answer:

Lateral Surface area of Cylinder - 2πrh

Radius will be 8 cm..

so that ,

$= 2 \times \frac{22}{7} \times 8 \times 7$

$= 2 \times 22 \times 8$

$= 44 \times 8$

$= 352 \: {cm}^{2}$

Total surface area of Cylinder -

$= 2\pi \: r \: h \: + 2\pi {r}^{2}$

$= 2 \times \frac{22}{7} \times 8 \times 7 + 2 \times \frac{22}{7} \times 8 \times 8$

$= 352 + 401.92$

$= 753.92 {cm}^{2}$

hope it will help you ❣️

Answer 2

$\mathfrak{\huge{\underline{Solution:}}}$

$\textbf{\huge{\underline{Given:}}}$

● Volume of cylinder = 448πcm^2

● Height = 7cm

_______________________

Let's find radius from the Volume and Height

$\hookrightarrow \sf \: Volume = 448\pi$

$\hookrightarrow \sf \: \cancel\pi {r}^{2} h = 448 \cancel\pi$

$\hookrightarrow \sf \: {r}^{2} h = 448$

$\hookrightarrow \sf \: {r}^{2} \times 7 = 448$

$\hookrightarrow \sf \: {r}^{2} = \cancel\dfrac{448}{7}$

$\hookrightarrow \sf \: {r}^{2} = 64$

$\hookrightarrow \sf \: r = \sqrt{64}$

$\hookrightarrow \sf \:r = \sqrt{8 \times 8}$

$\hookrightarrow \sf \: r = \large \boxed{8 \sf \: cm}$

$\textbf{\underline{\underline{Lateral\:Surface\:Area:}}}$

$\star \rm \: L.S.A = 2 \: \pi \: r \: h$

$\sf \hookrightarrow = 2 \times \dfrac{22}{ \cancel7} \times 8 \times \cancel 7$

$\hookrightarrow \sf \: \large \boxed{352 \sf \: {cm}^{2} }$

$\textbf{\underline{\underline{Total\:Surface\:Area:}}}$

$\star \rm \: T.S.A =2\pi \: r(r + h)$

$\hookrightarrow \sf \: 2 \times \dfrac{22}{7} \times 8(8 + 7)$

$\hookrightarrow \sf \: 2 \times \dfrac{22}{7} \times 8 \times 15$

$\hookrightarrow \sf \large \boxed{754.2 \sf \: {cm}^{2} }$