Answer: The surface area of a cylinder is given by the formula:
S = 2πr^2 + 2πrh
where r is the radius of the base, h is the height of the cylinder, and π is the mathematical constant pi.
In this case, the radius is 28 mm and the height is 30 mm.
Substituting these values into the formula, we get:
S = 2π(28)^2 + 2π(28)(30)
Simplifying the equation:
S = 2π(28)(28 + 30)
S = 2π(28)(58)
S = 32176π
Using a calculator, we can approximate the value of S to 3 significant figures:
S ≈ 101285.744 mm^2
Therefore, the surface area of the cylinder is approximately 101286 mm^2 (rounded to 3 significant figures).
Explanation: