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