Final answer:
The total surface area of the given cylinder is approximately 748.12 cm².
Step-by-step explanation:
To find the total surface area of a cylinder, we need to calculate the sum of the areas of the two bases and the lateral surface area.
The formula for the total surface area of a cylinder is:
SA = 2πr² + 2πrh
Given that the radius (r) is 7 cm and the height (h) is 10 cm, we can substitute these values into the formula:
SA = 2π(7)² + 2π(7)(10)
SA = 2π(49) + 2π(70)
SA = 98π + 140π
SA = 238π cm²
Using an approximation value of π ≈ 3.14, we can calculate the surface area:
SA ≈ 238 × 3.14
SA ≈ 748.12 cm²