Final answer:
The volume of the cylinder is 2000π cubic meters. The total surface area of the cylinder is 800π square meters.
Step-by-step explanation:
To find the volume of the cylinder, we can use the formula V = πr²h, where r is the base radius and h is the height. Substituting the given values, V = π(10 m)²(20 m) = 2000π m³. So, the volume of the cylinder is 2000π cubic meters.
To find the total surface area of the cylinder, we need to find the areas of the two bases and the lateral surface area. The area of each base is A = πr², so the total base area is 2πr². The lateral surface area is equal to the circumference of the base multiplied by the height, which is 2πrh. Substituting the given values, the total surface area is 2π(10 m)² + 2π(10 m)(20 m) = 400π + 400π = 800π square meters. So, the total surface area of the cylinder is 800π square meters.