To find the lateral area of a cylinder, you can use the formula:
Lateral Area = 2 × π × r × h
Here, r is the radius and h is the height of the cylinder. In our case, the radius (r) is 4 and the height (h) is 5.
Now let’s plug in the values:
- r = 4
- h = 5
Substituting these values into the formula gives:
Lateral Area = 2 × π × 4 × 5
Lateral Area = 40π
If you want a numerical approximation, you can use the value of π (approximately 3.14):
Lateral Area ≈ 40 × 3.14 = 125.6
Therefore, the lateral area of the cylinder with radius 4 and height 5 is 40π square units, or approximately 125.6 square units.