Answer :

The total surface area of the cylinder is [tex]477.28cm ^2[/tex]

  • The total surface area of ​​a cylinder is the sum of the areas of its circular top and bottom and  curved surfaces.
  •  T.S.A = face up + face down + C.S.A
  •  The total  area of ​​a cylinder of radius r and height h is given by [tex]T.S.A = 2 \pi r(r + h)[/tex]     ...(1)  where [tex]\pi = 3.14[/tex]

It is given that radius is 4 cm and height is 15 cm .

Putting r = 4 cm and h = 15 cm in equation (1) , we get

[tex]A=2\pi \times4(4+15)\\A=8\times3.14\times19\\A=477.28cm^2[/tex]

Hence , the area is 477.28

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The complete question is mention below :

What is the total surface area of cylinder with radius 4cm and height 15cm​