Math, asked by shaikhasil123, 4 months ago

Find the area of the sheet required to make closed cylindrical vessel of height 1m and diameter 70 cm?

Answers

Answered by ADARSHBrainly
16

{\large{\bf{\underline{\underline{\pink{✯ \:  Given  \: ✯}}}}}}

  • Height = 1 meter
  • Diameter = 70 cm

{\large{\bf{\underline{\underline{\pink{✯ \:  To \:     find   \: ✯}}}}}}

  • Area of sheet required.

{\Large{\bf{\red{ ꧁ \:  \: { \underline{ \underline{Solution}}} \:  \: ꧂}}}}

{\bf{\footnotesize{✯Converting  \: Meter \:  into  \: Centimeter  :  }}}

{ \implies{\bf{ \scriptsize{  Centimeter = Given  \: \:  meter \:  \:  no. × 100}}}}

{ \implies{\bf{ \scriptsize{  Centimeter =1 × 100}}}}

{ \implies{\bf{ \scriptsize{  Centimeter = 100 \: cm}}}}

{\bf{\footnotesize{✯ Radius : }}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   { \implies{\bf{ \scriptsize{  Radius =  \frac{ Diameter}{ 2}}}}} \\    { \implies{\bf{ \scriptsize{  Radius =  \frac{ 70}{ 2}}}}} \\  { \implies{ \scriptsize{  \boxed{ \bf{ Radius = { 35 \: cm}} }}}}

So, we have :-

  • Height = 100 cm
  • Radius = 35 cm

{ \bf{ \orange{✯Required \:  sheet \:  to  \: make \:  closed}}}  \\{ \bf{ \orange{ cylindrical  \: vessel  : }}}

So, total surface area is :-

{ \green{\Large{\underline{\boxed{ \bf{ TSA = 2πr (h+r) }}}}}}

 \\ {\large{\bf{\implies{2 \times  \frac{22}{ \cancel7^{1} }  \times  \cancel{35}^{5 }(100 + 35)}}}}

{\large{\bf{\implies{2 \times 22 \times 5(135)}}}}

{\large{\bf{\implies{2 \times 22 \times 675}}}}

{\underline{\boxed{\large{\bf{\blue{\implies{29,700  \: cm²}}}}}}}

Area of the sheet required to make closed cylindrical vessel of height 1m and diameter 70 cm is 29700 cm².

{\bf{\footnotesize{✯ In  \:  \: meter : }}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   { \implies{\bf{ \scriptsize{  Meter =  \frac{ Given  \: number \:  in  \: cm }{ 100}}}}} \\    { \implies{\bf{ \scriptsize{  Meter = \frac{29700}{100} }}}} \\  { \implies{ \scriptsize{  \boxed{ \bf{ Meter = { 297 \:  {cm}^{2} }} }}}}

Final answer :-

So, Area of the sheet required to make closed cylindrical vessel of height 1m and diameter 70 cm is 29700 cm² or 297 cm².

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