To find the surface area of a cylinder, you can use the formula:
\[ SA = 2\pi r(h + r) \]
where:
- \( SA \) is the surface area,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14 in this case.
Given:
- Radius \( r = 4 \) cm
- Height \( h = 2 \) cm
Now we can substitute these values into the formula.
First, calculate \( h + r \):
\[ h + r = 2 , \text{cm} + 4 , \text{cm} = 6 , \text{cm} \]
Now substitute into the surface area formula:
\[ SA = 2 \times 3.14 \times 4 , \text{cm} \times 6 , \text{cm} \]
Calculating this step by step:
-
Calculate \( 2 \times 3.14 = 6.28 \)
-
Multiply by the radius \( 6.28 \times 4 = 25.12 \)
-
Finally, multiply by \( 6 \):
\[ SA = 25.12 \times 6 = 150.72 , \text{cm}^2 \]
Thus, the surface area of the cylinder is \( \text{SA} \approx 150.72 , \text{cm}^2 \).