Answer:
C) 352 cm^2
Step-by-step explanation:
[tex]We\ are\ given\ that\ ,\\Volume\ of\ the\ cylindrical\ vessel = 448\pi\ cm^3\\Height\ of\ the\ cylindrical\ vessel =7 cm\\\\We\ know\ that,\\Volume\ of\ a\ cylinder=\pi r^2h\\Hence,\\\pi r^2h=448\pi \\Substituting\ 7\ instead\ of\ h,\ we\ get,\\\pi r^2*7=448\pi \\Canceling\ \pi \ on\ both\ the\ sides\ we\ have,\\r^2*7=448\\r^2=448/7\\r^2=64\\r=8[/tex]
[tex]We\ now\ know\ that\ ,\\Radius\ of\ cylindrical\ vessel\ = 8\\Height\ of\ the\ cylindrical\ vessel\ =7\\\\Hence,\\CSA\ of\ a\ cylinder\ = 2\pi rh\\CSA\ of\ the\ cylindrical\ vessel = 2*\pi *7*8\\Approxiamating\ the\ value\ of\ \pi\ as\ \frac{22}{7} ,\\CSA\ of\ the\ cylindrical\ vessel = 2*\ \frac{22}{7} *7*8\\=2*22*8\\=352\ cm^2[/tex]
