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Answer:
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Step-by-step explanation:
Surface Area of a Cylinder
Given a right cylinder of base radius r and height h, the surface area is calculated as follows:
[tex]S=2\pi r^2+2\pi r h[/tex]
The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:
[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]
[tex]S=2\pi 0.49+1.4\pi[/tex]
[tex]S=2.38\pi[/tex]
[tex]\boxed{S=7.48\ m^2}[/tex]
It's required [tex]7.48\ m^2[/tex] of sheet for the tank