Option B: 747.7 yards^2 is the correct answer
Step-by-step explanation:
Given
Diameter of circular base = d = 14 yards
Height of cylinder = h = 10 yards
First of all, we have to find the radius of the circular base
So
[tex]r = \frac{d}{2} = \frac{14}{2} = 7\ yards[/tex]
The surface area of cylinder is given by:
[tex]SA = 2\pi rh + 2\pi r^2[/tex]
Putting the values
[tex]SA = (2*\pi*7*10) + (2*\pi*7^2)\\=(140\pi) + (2\pi*49)\\= 140\pi + 98\pi\\= 238\pi\\=747.69905[/tex]
Rounding off to nearest tenth we get
SA = 747.7 yards^2
Hence, Option B: 747.7 yards^2 is the correct answer
Keywords: Surface area of cylinder, Area
Learn more about surface area at:
- brainly.com/question/10387593
- brainly.com/question/10402163
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