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Sagot :
When the surface area is 275 square inches, the radius is approximately 6.17 inches.
The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.
Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.
Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]
Let the total surface area of the given cylinder be written as A(x).
[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]
Now given A(x)=275 and h=8 inches.
[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]
The radius is 6.17 inches when the surface area is 275.
To learn more about surface area:
https://brainly.com/question/22074027
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