How do I calculate the lateral area of a cylinder with a radius of 4 and a height of 5?

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To find the lateral area of a cylinder, you can use the formula:

  • Lateral Area = 2 × π × r × h

Where:

  • r = radius of the cylinder
  • h = height of the cylinder
  • π (Pi) is approximately equal to 3.14159

Given that the radius (r) is 4 and the height (h) is 5, you can substitute these values into the formula:

  • Lateral Area = 2 × π × 4 × 5

Now, let’s perform the calculations step-by-step:

  1. Calculate the product of the radius and height:
    • 4 × 5 = 20
  2. Multiply this result by 2:
    • 2 × 20 = 40
  3. Finally, multiply by π:
    • Lateral Area = 40 × π ≈ 40 × 3.14159 ≈ 125.66

Hence, the lateral area of the cylinder is approximately 125.66 square units.

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