Answer:
the surface area of the cylinder is about 452.2 square centimeters.
Explanation:
To find the surface area of a cylinder, you need to use the formula: A=2πr2+2πrh where A is the surface area, r is the radius of the circular base, and h is the height of the cylinder In this case, you are given the diameter of the base as 12 cm, so you need to divide it by 2 to get the radius: r=212=6 cm
You are also given the height of the cylinder as 6 cm.
Plugging these values into the formula, you get: A=2π(6)2+2π(6)(6)
Simplifying, you get: A=72π+72π
Adding, you get: A=144π cm2
Using a calculator, you can approximate π as 3.14 and get: A≈452.16 cm2
Rounding to the nearest tenth, you get: A≈452.2 cm2