Final Answer:
The lateral surface area of the cylinder is 62.8 units and the total surface area of the cylinder is 94.2 units.
Step-by-step explanation:
The surface area of a cylinder can be calculated using the following formula: Surface area = 2πr (h + r). The lateral surface area is equal to 2πrh and the total surface area is equal to 2πr (h + r).
In this question, we are asked to find the lateral and total surface area of a cylinder given its radius and height. To do this, we must first find the radius and height of the cylinder. We can then use these values to find the lateral and total surface area of the cylinder.
To calculate the lateral surface area of the cylinder, we first need to find the value of π. For this question, we can use the value of 3.14 for π. We can then find the lateral surface area by multiplying the value of π by the radius of the cylinder and the height of the cylinder. The lateral surface area of the cylinder is equal to 2πrh.
To calculate the total surface area of the cylinder, we need to add the radius of the cylinder to the height of the cylinder and then multiply this value by 2π. The total surface area of the cylinder is equal to 2πr (h + r).
In this question, the radius and height of the cylinder are given as 5 units and 8 units respectively. Using this information, we can find the lateral and total surface area of the cylinder. The lateral surface area of the cylinder is equal to 2πr (5) (8) = 2π (40) = 62.8 units. The total surface area of the cylinder is equal to 2πr (5 + 8) = 2π (13) = 94.2 units.
Therefore, the lateral surface area of the cylinder is 62.8 units and the total surface area of the cylinder is 94.2 units.