Respuesta :

Gyzmo

Answer:

28π cm²

Step-by-step explanation:

The surface of a cylinder is given by the formula:

  • 2πrh + 2πr²

where r is the radius of the base, and h is the height.

Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.

Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.

Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:

2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π

Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).

The surface area of the cylinder would be 28π cm².

28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.

I hope you find this helpful. :)