Find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. Use the approximate of 3.14 for pi

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr^2 + 2πrh

where r is the radius and h is the height.

Given that the radius (r) is 4 cm and the height (h) is 2 cm, we can substitute these values into the formula:

Surface Area = 2π(4^2) + 2π(4)(2)
Surface Area = 2π(16) + 2π(8)
Surface Area = 32π + 16π

Since the approximate value of π is 3.14, we can calculate the surface area:

Surface Area ≈ 32(3.14) + 16(3.14)
Surface Area ≈ 100.48 + 50.24
Surface Area ≈ 150.72 cm^2

Therefore, the surface area of the cylinder is approximately 150.72 cm^2.