Respuesta :

ItzStarzMe

Explaination :

Clearly we can see that the given figure is of cylinder. And the height of the cylinder is 12 ft whereas the radius is 4 ft.

We have to calculate the total surface area of it. So we would be using the formula of calculating the total surface area of cylinder :

★ Total surface area of cylinder :-

  • T.S.A. = 2πr (h + r)

Here,

  • r is radius
  • h is height
  • Value of π is 22/7

★ Putting the values in the formula :-

>> T.S.A. = 2πr (h + r)

>> T.S.A. = 2 × (22/7) 4 (12 + 4)

>> T.S.A. = 2 × (22/7) × 4 × 16

>> T.S.A. = 2 × 22 × 4 × 16 / 7

>> T.S.A. = 44 × 4 × 16 / 7

>> T.S.A. = 176 × 16 / 7

>> T.S.A. = 2816 / 7

>> T.S.A. = 402.2

★ Henceforth,

  • Total surface area is 402.2 cm².
TheAmethyst

Answer:

  • 402 centimetre square

Step-by-step explanation:

In this question we are given with a figure that's cylinder having ,

  • Radius = 4 ft

  • Height = 12 ft

And we are asked to find the total surface area of the given cylinder . We know that ,

[tex] \underline{ \boxed{\frak{Total \: Surface \: Area_{( Cylinder )} = 2 \pi r ( r + h )} }}[/tex]

Where ,

  • π refers to 3.14

  • r refers to radius of cylinder

  • h refers to height of cylinder

Solution : -

Substituting value of π , radius and height :

[tex] \longmapsto \qquad \: 2 \times 3.14 \times 4(4 + 11)[/tex]

[tex]\longmapsto \qquad \: 6.28 \times 4 + (15)[/tex]

[tex]\longmapsto \qquad \: 25.12(16)[/tex]

[tex]\longmapsto \qquad \: 401.92 \: cm {}^{2} [/tex]

or

[tex]\longmapsto \qquad \: \red{\underline{\boxed{\frak{402 \: cm {}^{2} \: approx.}}}}[/tex]

  • Therefore , total surface area of cylinder is 402 cm² .

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