Determine the total surface area of the cylinder. (Use 3.14 for π.)

Has a hight of 20cm and a radius of 5cm

1 answer

To find the total surface area of a cylinder, we need to calculate the lateral surface area and the area of the two bases separately, and then add them together.

1. Lateral Surface Area:
The lateral surface area of a cylinder can be calculated using the formula:
Lateral Surface Area = 2πrh
where r is the radius and h is the height.

Plugging in the values:
Lateral Surface Area = 2 * 3.14 * 5 * 20
Lateral Surface Area = 628 square cm

2. Area of the two bases:
The area of the base of the cylinder is a circle, so we can calculate the area of one base and then multiply it by 2.
Area of one base = πr^2
Area of one base = 3.14 * 5^2
Area of one base = 3.14 * 25
Area of one base = 78.5 square cm

Total area of the two bases = 2 * 78.5
Total area of the two bases = 157 square cm

Adding the lateral surface area and the area of the two bases:
Total Surface Area = Lateral Surface Area + Total area of the two bases
Total Surface Area = 628 + 157
Total Surface Area = 785 square cm

So, the total surface area of the cylinder is 785 square cm.

(Note: All measurements were given in centimeters, so the area is in square centimeters.)