Question

The volume of a cylinder is 448 pai cm³ and height 7cm .find its lateral (curved) surface area and total surface area​

Answer 1

$\underline{\underline{\maltese\: \: \textbf{\textsf{Question:-}}}}$

The volume of a cylinder is 448 pai cm³ and height 7cm .find its lateral (curved) surface area and total surface area.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Answer:-}}}}$

$\bf \: Volume =448π \: {cm}^{3 } \\ \bf \: height =7 \: cm$

$\bfπ {r}^{2} h=448π \\ \\ \bf \dashrightarrow \: {r}^{2} ×7=448 \\ \\ \bf \dashrightarrow{r}^{2} =64 \\ \\ \bf \dashrightarrow \red{r=8}$

$\bf \: lateral \: surface \: Area =2πrh \\ \\ \bf =2 \times 8 \times 7 \timesπ \: {cm}^{2} \\ \\ \bf \red{ = 112\pi \: {cm}^{2} }$

$\bf \: Total \: surface \: Area=2πrh+2π {r}^{2} \\ \\ \bf=112π+128π \\ \\ \bf \red{=240π \: {cm}^{2} }$

$\rule{300px}{.7ex}$