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kolezko [41]
3 years ago
10

Find the total surface area of the cylinder

Mathematics
2 answers:
Allushta [10]3 years ago
6 0

9514 1404 393

Answer:

  • lateral area: 96π mm²
  • total area: 128π mm²

Step-by-step explanation:

The lateral area of the cylinder is given by the formula ...

  LA = 2πrh = πdh . . . . . . where h is the height, r is the radius, d is diameter

Here, the diameter is given as 8 mm, and the height is shown as 12 mm. Then the lateral area is ...

  LA = π(8 mm)(12 mm) = 96π mm² . . . . lateral area

__

The total surface area adds the areas of the circular bases to the lateral area:

  TSA = 2(πr²) +LA

  TSA = 2(π(4 mm)²) + 96π mm² = 128π mm² . . . . total surface area

__

We have provided two answers because you have asked two questions. Your text asks for the <em>total</em> area; the picture asks for <em>lateral</em> area.

erastova [34]3 years ago
4 0

Answer:

3

Step-by-step explanation:

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