Question

the volume of a cylinder of height 8cm is1232cmcube .Find its lateral surface area and the total surface area​

Answer 1

Step-by-step explanation:

volume os cylinder =

$\pi \times {r}^{2} \times h$

22/7 *r²*8=1232

r²=1232*7/22*8

${r}^{2} = \frac{1232 \times 7}{22 \times 8}$

${r}^{2} = 49 \\ \\ r = 7cm$

$lateral \: surface \: area \: = 2\pi \: rh \\ \\ \\ \\ \\ = 2 \times \frac{22}{7} \times 7 \times 8 \\ \\ \\ \\ = 352$

$total \: surface \: area \: \\ = 2\pi \: rh + \pi \: {r}^{2} + \pi \: {r}^{2}$

$352 + 154 + 154 \\ \\ = 660$