Answer:6264.6
Explanation:
To calculate the surface area of a cylinder, we need to find the area of the two circular bases and the lateral surface area.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
where r is the radius of the base and h is the height or length of the cylinder.
Given:
Radius (r) = 24 cm
Length (h) = 18 cm
Using the formula, we can calculate the surface area:
Surface Area = 2π(24)² + 2π(24)(18)
Surface Area = 2π(576) + 2π(432)
Surface Area = 1152π + 864π
Surface Area ≈ 2016π
Now, let's approximate the value of π to 1 decimal place, which is 3.1:
Surface Area ≈ 2016(3.1)
Surface Area ≈ 6264.6 cm²
Therefore, the surface area of the cylinder is approximately 6264.6 cm².