Answer:
B) [tex]747.7 \ yd^2[/tex]
Step-by-step explanation:
Given:
Height of cylinder (h) = 10 yd
Diameter of cylinder (d) = 14 yd
We need to find the surface area of the cylinder.
Solution:
First we will find the radius of the cylinder.
Radius is half of the diameter.
radius (r) = [tex]\frac{14}{2} = 7\ yd[/tex]
Now we know that;
Surface area of cylinder is equal to 2 times π times radius(r) times sum of radius (r) and height (h).
Framing in equation form we get;
Surface area of cylinder = [tex]2\pi r(h+r)[/tex]
Substituting the given values we get;
Surface area of cylinder = [tex]2\pi \times 7(7+10)= 2\pi \times7\times 17 = 747.699 \yd^2[/tex]
Rounding to nearest tenth we get;
Surface area of cylinder = [tex]747.7 \ yd^2[/tex]
Hence the surface Area of cylinder is [tex]747.7 \ yd^2[/tex].
