Given:
- Volume of cylinder = 6358 cu cm
- Height of cylinder = 28 cm

To Find:
- Area of the cylinder
- Curved surface area (CSA) of the cylinder

Formula:
- Volume of a cylinder = π * r^2 * h
- Curved surface area of a cylinder = 2 * π * r * h
- Area of a cylinder = 2 * π * r * (r + h)

Solution:

Step 1: Find the radius of the cylinder
- The formula for the volume of a cylinder is given as: V = π * r^2 * h
- Rearranging the formula, we get: r = √(V / (π * h))

Given V = 6358 cu cm and h = 28 cm,
- Substituting the values in the formula, we have: r = √(6358 / (π * 28))
- Calculating the value, we find: r ≈ 9.03 cm

Step 2: Calculate the area of the cylinder
- The formula for the area of a cylinder is given as: A = 2 * π * r * (r + h)

Given r = 9.03 cm and h = 28 cm,
- Substituting the values in the formula, we have: A = 2 * π * 9.03 * (9.03 + 28)
- Calculating the value, we find: A ≈ 2308.75 sq cm

Therefore, the area of the cylinder is approximately 2308.75 square centimeters.

Step 3: Determine the curved surface area of the cylinder
- The formula for the curved surface area of a cylinder is given as: CSA = 2 * π * r * h

Given r = 9.03 cm and h = 28 cm,
- Substituting the values in the formula, we have: CSA = 2 * π * 9.03 * 28
- Calculating the value, we find: CSA ≈ 1600.06 sq cm

Therefore, the curved surface area of the cylinder is approximately 1600.06 square centimeters.

Summary:
- The area of the cylinder is approximately 2308.75 square centimeters.
- The curved surface area of the cylinder is approximately 1600.06 square centimeters.