Any height. The size you have has the base about that of a tin of paint. But it could be any height.
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A cylinder with a radius of 3 (6/2) inches and a height of 5 inches has a volume of 141.37 inches3.
The curved surface area is 125.66 square inches.
The volume a cylinder with a radius of 4 inches and a height of 5 inches is: 251.3 cubic inches.
Total surface area: (2*pi*9)+(pi*6*5) = 48*pi square inches
The surface area of a cylinder is given by the formula 2πr(r+h), where r is the radius and h is the height. In this case, the radius is half the diameter, so it is 4 inches. Thus, the surface area of this cylinder is 2π(4)(4+5) = 2π(4)(9) = 2π(36) ≈ 226.195 square inches.