Question

a wooden article is made by scooping out a hemisphere from each end of a solid cylinder. if the height of the cylinder is 10 cm and it base is a radius 3.5 cm find the total surface area​

Answer 1

final answer:-

total surface area​ of wooden article is $374\:cm^{2}$

given:-

• height of the cylinder (h) is 10 cm

• as well as radius of cylinder (r) is same as base is 3.5 cm

• base is a radius (r) is 3.5 cm

to find:-

the total surface area​ of wooden article

formulas used:-

• $CSA\:of \:cylinder =2\pi rh$

• $CSA \:of\:hemisphere=2\pi r^{2}$

solution:-

Total surface area of the article =Curved surface area of the cylinder +2 surface area of a hemisphere

$=2\pi r h + 2 (2\pi r^{2})\\=2*\frac{22}{7}*3.5*10+2(2*\frac{22}{7}*3.5*3.5)\\=220+2(77)\\=220+154\\=374\:cm^{2}$

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some extra formulas:-

$TSA\:of\:cylinder=2\pi rh +2\pi r^{2}\\TSA\:of\:hemisphere=3\pi r^{2}\\TSA\:of\:sphere=4\pi r^{2}\\TSA\:of\:cone=\pi r(r+l)\:\:or\:\: \pi rl + \pi r^{2}\\TSA\:of\:cube=6s^{2}\\TSA\:of\:cuboid=2(lb+lh+bh)$

Answer 2

maihuunknown ne sahi answer diya hai use brainlist bana