The radius of a cylindrical tank is 14 m. And height 20 m. Is.Find the area of ​​curvature of the cylindrical tank.(ii) Find the t

1 thought on “The radius of a cylindrical tank is 14 m. And height 20 m. Is.Find the area of ​​curvature of the cylindrical tank.(ii) Find the t”

1. [tex] \bf \underline{Given} : [/tex] ↴

   [tex] \sf \implies Radius \: of \: cylindrical \: tank = 14 \: metre[/tex]

   [tex] \sf \implies Height \: of \: cylindrical \: tank = 20 \: metre[/tex]

   [tex] \bf \underline{To \: find} : [/tex] ↴

   [tex] \sf \implies Area \: of \: curvature \: of \: cylindrical \: tank. [/tex]

   [tex] \sf \implies Total \: surface \: area \: of \: cylindrical \: tank. [/tex]

   [tex] \sf \implies Volume \: of \: cylindrical \: tank. [/tex]

   [tex] \bf\underline{ \underline{Solution} }[/tex]

   [tex] \sf (i). \: Area \: of \: curvature = Curved \: Surface \: area = 2 \pi r h [/tex]

   [tex] \sf \implies Curved \: Surface \: area = 2 \pi r h [/tex]

   [tex] \sf \implies 2 \times \dfrac{22}{7} \times 14 \times 20[/tex]

   [tex] \sf \implies 2 \times \dfrac{22}{7} \times 280[/tex]

   [tex] \sf \implies \dfrac{44}{7} \times 280[/tex]

   [tex] \sf \implies 44 \times 40[/tex]

   [tex] \sf \implies 1760 \: m^{2} [/tex]

   [tex] \boxed{\pink{ \sf Hence, area \: of \: curvature = 1760 \: m^{2}}}[/tex]

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   [tex] \sf (ii).\: Total \: surface \: area \: of \: cylinder = 2 \pi r(h + r)[/tex]

   [tex] \sf \implies 2 \times \dfrac{22}{7} \times\: 14 \times (20 + 14)[/tex]

   [tex] \sf \implies 2 \times 22 \times\: 2 \times (20 + 14)[/tex]

   [tex] \sf \implies 2 \times 22 \times\: 2 \times34[/tex]

   [tex] \sf \implies 2992 \: m^{2} [/tex]

   [tex] \boxed{\pink{ \sf Hence, t otal \: surface \: area \: of \: cylinder = 2992 \: m^{2}}}[/tex]

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   [tex] \sf (iii). \: Volume \: of \: cylindrical \: tank = \pi (r)^{2} h [/tex]

   [tex] \sf \implies \dfrac{22}{7} \times\: 14 ^{2} \times 20[/tex]

   [tex] \sf \implies \dfrac{22}{7} \times\: 14 \times 14 \times 20[/tex]

   [tex] \sf \implies \dfrac{22}{7} \times\: 3920[/tex]

   [tex] \sf \implies 22 \times 560[/tex]

   [tex] \sf \implies 12320 \: m^{3} [/tex]

   [tex] \boxed{\pink{ \sf Hence, volume \: of \: cylindrical \: tank = 12320 \: m^{3}}}[/tex]

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   [tex] \bf \underline{Abbreviations} : [/tex] ↴

   [tex] \sf \implies l=Length [/tex]

   [tex] \sf \implies h=Height [/tex]

   [tex] \sf \implies \pi=\dfrac{22}{7} [/tex]

   [tex] \sf \implies r=Radius [/tex]

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