Use the following formula:-
[tex]SA=2 \pi rh+2 \pi r^2[/tex]
r = radius
h = height
Substitute for the formula:-
r = 5
[tex]SA = 2 * \pi *5*h+2* \pi *5^2[/tex]
2 = 5
[tex]SA = 2 * \pi *r*2+2* \pi *r^2[/tex]
[tex]SA= 2* \pi *5*2+2* \pi *5^2[/tex]
Solve:-
[tex]SA= 2* 3.14 *5*2+2* 3.14 *5^2[/tex]
SA = 2 × 3.14 × 5 × 2 + 2 × 3.14 × 25
SA = 6.28 × 5 × 2 + 2 × 3.14 × 25
SA = 31.4 × 2 + 2 × 3.14 × 25
SA = 62.8 + 6.28 × 25
SA = 62.8 + 157
SA = 219.8
SA = 219.8 yds
The surface area of this cylinder is 219.8 yds (yards)