Respuesta :

Answer:

  • Surface area of the cylinder is 377 cm² (approximately)

Step-by-step explanation:

Given :-

  • Radius of the cylinder = 6cm
  • Height of the cylinder = 4 cm

To find :-

  • Surface area

Solution :-

We know that,

  • Surface area of cylinder = 2πr(h + r)

Substituting the required values,

➝ Surface area= 2 × 22/7 × 6 (6 + 4)

➝ Surface area = 264/7 (10)

➝ Surface area = 2640/7

➝ Surface area ≈ 377 cm²

Hence,

  • Surface area of the cylinder is 377 cm² (approximately)
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Explaination :

After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.

  • Radius (r) = 6 cm
  • Height (h) = 4 cm

As we know that total surface area of cylinder is calculated by the formula :

  • T.S.A. = 2πr (h + r)

Where,

  • 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) × 6 (6 + 4)

>> T.S.A. = 2 × (22/7) × 6 (10)

>> T.S.A. = 2 × (22/7) × 6 × 10

>> T.S.A. = 2 × (22/7) × 60

>> T.S.A. = (44 / 7) × 60

>> T.S.A. = 44 × 60 / 7

>> T.S.A. = 2640 / 7

>> T.S.A. = 377

★ Therefore,

  • Surface area is 377cm²

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