Question

Please solve both the questions​

Answer 1

$\color{olive} \bold{Given,} \\ \\ \sf \: Height \:= \:7\:cm \:\:\:\:|\:\:\: Volume\:=\:1408\:cm^3 \\ \\ \sf \: \\\\\color{silver} \bold{Solution} \\ \\ \sf \color{red}Volume_{(cylinder)} \: = \: \pi \: {r}^{2} \: h \\ \\ \sf \: 1408 \: = \: \frac{22}{ \cancel7} \times {r}^{2} \times \cancel 7 \\ \\ \sf \: 1408 = 22 {r}^{2} \\ \\ \sf \: {r}^{2} \: = \: \frac{1408}{22} \\ \\ \sf \: {r}^{2} = \: 64 \\ \\ \sf \: r \: = \: \sqrt{64} \\ \\ \sf \: \color{lime} r \: = \: 8 \: cm \\ \\ \color{aqua} \boxed{ \sf \:Lateral\:surface\:area_{(cylinder)}\:=\:2 \: \pi \: r \: h} \\ \\ \sf \: Lateral\:surface\:area \: = \: 2 \: \times \: \frac{22}{7} \times 8 \times 7 \\ \\ \sf \: \color{skyblue}Lateral\:surface\:area \: = \: 352 \: {cm}^{2} \\ \\ \color{deeppink} \boxed{ \sf \: Total\:Surface\:Area_{(cylinder)}\:=\:2\:π\:r\:(h\:+\:r)} \\ \\ \\ \\ \sf \: Total\:Surface\:Area\:=\:2 \times \frac{22}{7} \times 8 \times (7 + 8) \\ \\ \sf \: \color{gold}Total\:Surface\:Area\:=\:754.285 \: {cm}^{2}$