Answer:
![A=141.6\ cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/9jk9j05y16oi74uupet0nv1nx09i6g9bc2.png)
Explanation:
The surface area of a cylinder is given by :
![A=2\pi rh](https://img.qammunity.org/2022/formulas/mathematics/college/soo6lm8oxq30cxc5zjxhmz4x1f0utpjj56.png)
For larger cylinder, A = 236 cm² and h = 5 cm
So,
![236=2\pi * 5* r\\\\r=(236)/(10\pi)\\\\r=7.51\ cm](https://img.qammunity.org/2022/formulas/mathematics/high-school/p77e8ue37e7mdl530vxrjsfq1x48z4vwyk.png)
Now, Put r = 7.51 and h = 3 cm to find the surface area of the smaller cylinder.
![A=2\pi * 7.51* 3\\\\A=141.56\ cm^2\\\\A=141.6\ cm^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/wl65jxgi20y6ghjy1phdmdvsj0rp7d9hoq.png)
So, the surface area of the smaller cylinder is equal to
.