Answer:
The lateral surface area of a cylinder is the area of the curved surface that goes around the cylinder. It can be calculated using the formula:
Lateral Surface Area = 2πrL
where π is pi, r is the radius, and L is the length of the cylinder.
The total surface area of a cylinder is the sum of the lateral surface area and the area of the two circular end caps. It can be calculated using the formula:
Total Surface Area = 2πrL + 2πr^2
Given that r = 20mm and L = 75mm, we can use these values to find the lateral and total surface area of the cylinder:
Lateral Surface Area = 2πrL = 2 * 3.14 * 20mm * 75mm = 4712 mm^2
Total Surface Area = 2πrL + 2πr^2 = 2 * 3.14 * 20mm * 75mm + 2 * 3.14 * 20mm^2 = 4712 mm^2 + 1256 mm^2 = 5968 mm^2