Friend, surface area of a cylinder with the radius of 4 cm and a height of 2 cm used to approximation of 3.14 for pi

1 answer

To find the surface area of a cylinder, you need to calculate the area of the two bases and the lateral surface area.

1. Base Area: The base of a cylinder is a circle, so you can find its area using the formula A = πr², where A is the area and r is the radius. Since the radius is 4 cm and you're given that π is approximated to be 3.14, you can calculate the base area as follows:
Base Area = πr² = 3.14 * (4 cm)² = 3.14 * 16 cm² = 50.24 cm².

2. Lateral Surface Area: The lateral surface area of a cylinder is given by the formula A = 2πrh, where A is the lateral surface area, r is the radius, and h is the height. Plugging in the values, we get:
Lateral Surface Area = 2πrh = 2 * 3.14 * (4 cm) * (2 cm) = 25.12 cm².

3. Total Surface Area: To find the total surface area, you add the base area to the lateral surface area.
Total Surface Area = Base Area + Lateral Surface Area = 50.24 cm² + 25.12 cm² = 75.36 cm².

Therefore, the surface area of the cylinder with a radius of 4 cm and a height of 2 cm (approximating π as 3.14) is 75.36 cm².