Answer:
The fourth one
Explanation:
Surface area of a cylinder:
![SA=2\pi rh+2\pi r^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/mt3yp1op4s1p6ciyrl9nlsrfch2f9kjgnc.png)
where r = radius and h = height
We have a given height of 14cm and a given diameter of 6cm
We need the radius, not the diameter
To convert diameter to radius we simply divide by 2
6 / 2 = 3
so R = 3
We now plug in the given values into the formula
![SA=2\pi (3)(14)+2\pi (3)^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/80vo0u9o52i2g99uof5a9oczoaqp04vvwn.png)
This equation matches with answer choice D