Given radius and height: 5 cm and 2 cm respectively
Formulae
[tex]\large\text{Area of cylinder:} \ 2\pi rh+2\pi r^{2}[/tex]
Substitute the radius and the height in the formula to determine the area of the cylinder and simplify the expression obtained.
[tex]\implies \large\text{Area of cylinder:} \ (2)\pi (5)(2)+(2)\pi (5)^{2}[/tex]
[tex]\implies \large\text{Area of cylinder:} \ \pi (20) +(2)\pi (5)(5)[/tex]
[tex]\implies \large\text{Area of cylinder:} \ \pi (20) +(2)\pi (25)[/tex]
[tex]\implies \large\text{Area of cylinder:} \ \pi (20) +\pi (50)[/tex]
Combine like terms and simplify;
[tex]\implies \large\text{Area of cylinder:} \ \pi (20) +\pi (50)[/tex]
[tex]\implies \large\text{Area of cylinder:} \ \pi (70)[/tex]
Since the question states that to leave the area of the cylinder in terms of π, the area of the cylinder is 70π cm².
Learn more about the surface area of a cylinder:
https://brainly.com/question/14941251 - Expert verified (Recommended)