Question

$\ \textless \ br /\ \textgreater \ \frac{ \sqrt{7 + \sqrt{5 } } }{ \sqrt{7 - \sqrt{5} } } + \frac{ \sqrt{7 - \sqrt{5} } }{ \sqrt{7 + \sqrt{5} } }$
answer it​

Answer 1

Step-by-step explanation:

_______________________________________ < /p > < p > < /p > < p > 》To find : < /p > < p > < /p > < p > Lateral surface area and Total surface area. < /p > < p > < /p > < p > 》Given : < /p > < p > < /p > < p > Volume of cylinder = 448\pi{cm}^{3}448πcm3 < /p > < p > < /p > < p > Height = 7 cm < /p > < p > < /p > < p > 》Solution : < /p > < p > < /p > < p > In order to find the lateral surface area and Total surface area we first need to find the radius of the cylinder. < /p > < p > < /p > < p > ⟹ Volume=\pi{r}^{2}hVolume=πr2h < /p > < p > < /p > < p > ⟹ 448\pi=\pi{r}^{2}\times 7448π=πr2×7 < /p > < p > < /p > < p > ⟹ 64={r}^{2}64=r2 < /p > < p > < /p > < p > ⟹ r=8r=8 < /p > < p > < /p > < p > So, the radius of the circle is 8 cm. < /p > < p > < /p > < p > Now, lateral surface area - < /p > < p > < /p > < p > ⟹ 2\pi rh2πrh < /p > < p > < /p > < p > ⟹ 2\times \frac{22}{7}\times 8\times 72×722×8×7 < /p > < p > < /p > < p > ⟹ 352\:{cm}^{2}352cm2 < /p > < p > < /p > < p > So, the lateral surface area of cylinder is 352\:{cm}^{2}352cm2 . < /p > < p > < /p > < p > Now, total surface area - < /p > < p > < /p > < p > ⟹ 2\pi r(r+h)2πr(r+h) < /p > < p > < /p > < p > ⟹ 2\times \frac{22}{7}\times 8(8+7)2×722×8(8+7) < /p > < p > < /p > < p > ⟹ 754.2\:{cm}^{2}754.2cm2 < /p > < p > < /p > < p > So, the total surface area of cylinder is 754.2\:{cm}^{2}754.2cm2 . < /p > < p > < /p > < p > _______________________________________ < /p > < p > < /p > < p >