Sagot :
Solution:
[tex]A_{cylinder} = 2\pi rh + 2\pi r^{2} \\A_{cylinder} = 2(3.14)(8)(2) + 2(3.14)(8)^{2} \\[/tex]
Area = 502.65 cm^2
ANSWER:
[tex]\sf\ \: 128 πcm²[/tex]
In general, area is easier to solve in 1D than in higher dimensions. So if you imagine you are going to make a cylinder out of paper, you can make the object with a single cut and two folds. Now it should be easy to see that the surface area is just 2 circles plus 1 rectangle. The rectangle comes from the height and circumference of the cylinder and thus takes the dimensions of 2πr×h . The area of the 2 circles is simply 2πr2 . So the total surface area is 2π42+2π(4)(12)=128πcm²
hope it helps