Solution:
Given:
- Radius of cylinder: 2.5 in
- Height of cylinder: 10 in
Surface area of cylinder: 2πrh + 2πr²
Using the formula:
[tex]2\pi rh + 2\pi r^{2} = \text{Surface area of cylinder}[/tex]
[tex]\rightarrow 2(3.14)(2.5)(10) + 2(3.14)(2.5)^{2} = \text{Surface area of cylinder}[/tex]
Simplifying the LHS:
[tex]\rightarrow (3.14)(50) + 2(3.14)(6.25) = \text{Surface area of cylinder}[/tex]
[tex]\rightarrow (31.4)(5) + (6.28)(6.25) = \text{Surface area of cylinder}[/tex]
[tex]\rightarrow \boxed{\bold{196.25 \ in^{2} = \text{Surface area of cylinder}}}[/tex]
