Respuesta :

ANSWER

[tex]578.05yd^2[/tex]

EXPLANATION

Given;

[tex]\begin{gathered} diameter(d)=8yd \\ radius(r)=\frac{d}{2}=\frac{8}{2}=4 \\ height(h)=19yd \end{gathered}[/tex]

Recall, the formula for finding the surface area of a cylinder is;

[tex]A=2\pi rh+2\pi r^2[/tex]

Substituting the values;

[tex]\begin{gathered} A=2\pi rh+2\pi r^2 \\ =2\times3.14\times4\times19+2\times3.14\times4^2 \\ =477.28+100.48 \\ =578.05 \end{gathered}[/tex]