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Blizzard [7]
2 years ago
10

Work out the surface area of this cylinder. 12 cm radius 35 cm height

Mathematics
1 answer:
zaharov [31]2 years ago
4 0

Answer:

The surface area of this cylinder is 3545\frac{1}{7} cm²

Step-by-step explanation:

The formula of the surface area of the cylinder is

  • Surface area = later area + 2 base area, where
  • Lateral area = perimeter of the base × height of the cylinder

Let us use the rules above to solve the question

∵ The base of the cylinder is a circle

∵ The perimeter of the circle = 2 π r

∵ The radius of the cylinder is 12 cm

∴ r = 12

∴ The perimeter of the base = 2 (12) (π)

∴ The perimeter of the base = 24π cm

∵ The height of the cylinder is 35 cm

∴ h = 35 cm

→ By using the rule of the lateral area above

∵ The lateral area = 24π × 35

∵ π = \frac{22}{7}

∴ The lateral area = 24 × \frac{22}{7} × 35

∴ The lateral area = 2640 cm²

∵ The area of the circle = π r²

∴ The area of the base = \frac{22}{7} × (12)² = \frac{22}{7} (144) = 452\frac{4}{7} cm²

→ By using the rule of the surface area above

∴ The surface area = 2640 + 2(452\frac{4}{7}) = 3545\frac{1}{7} cm²

∴ The surface area of this cylinder is 3545\frac{1}{7} cm²

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