<h3><u>
Answer:</u></h3>
Hence, the surface area of cylinder is:
345 square inches.
<h3><u>
Step-by-step explanation:</u></h3>
We are given height(h) of the cylinder as: 6 inches.
Also, The diameter(d) of the circular base of the figure is 10 inches.
Hence, the radius(r) of the circular base is given as:
![d=2r\\\\r=\dfrac{d}{2}](https://tex.z-dn.net/?f=d%3D2r%5C%5C%5C%5Cr%3D%5Cdfrac%7Bd%7D%7B2%7D)
This implies that:
![r=\dfrac{10}{2}=5inches](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B10%7D%7B2%7D%3D5inches)
Now, the approximate surface area( SA) of cylinder is given as:
![SA=2\pi r(h+r)](https://tex.z-dn.net/?f=SA%3D2%5Cpi%20r%28h%2Br%29)
so, on putting value of r,h and
in the formula we have:
![SA=2\times 3.14\times 5\times (6+5)\\\\SA=31.4\times (11)\\\\SA=345.4 square inches](https://tex.z-dn.net/?f=SA%3D2%5Ctimes%203.14%5Ctimes%205%5Ctimes%20%286%2B5%29%5C%5C%5C%5CSA%3D31.4%5Ctimes%20%2811%29%5C%5C%5C%5CSA%3D345.4%20square%20inches)
Hence, the surface area of cylinder is:
345 square inches.