Find the total area for the cylinder with the given measurement.

r = 2, h = 4

The formula is given in this site.

http://math.about.com/od/formulas/ss/surfaceareavol_3.htm

I'll be glad to check your answer.

To find the total area of a cylinder with the given measurements, you need to add the areas of the two circular bases and the lateral surface area.

1. Start by finding the area of one circular base. The formula for the area of a circle is A = πr^2, where r is the radius.

Substitute the given radius, r = 2, into the formula:
A = π(2^2) = 4π square units

2. Since a cylinder has two bases, you need to calculate the area of the second circular base, which is also 4π square units.

3. Next, calculate the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height.

Substitute the given radius, r = 2, and height, h = 4:
A = 2π(2)(4) = 16π square units

Now, to find the total surface area, add the base areas and the lateral surface area:
Total Area = 2(4π) + 16π = 8π + 16π = 24π square units.

Therefore, the total area of the given cylinder is 24π square units.