the surface area of a cylinder is 2πr^2 + 2πrh

what is the appropriate surface area of a cylinder with a height of 7cm and a bar radius of 4cm? use 3.14 as pi

To find the surface area of the cylinder, we'll use the formula:

Surface Area = 2πr^2 + 2πrh

Given that the height (h) of the cylinder is 7cm and the radius (r) is 4cm, we can substitute these values into the formula:

Surface Area = 2(3.14)(4^2) + 2(3.14)(4)(7)

Simplifying this expression:

Surface Area = 2(3.14)(16) + 2(3.14)(28)

Surface Area = 2(50.24) + 2(87.92)

Surface Area = 100.48 + 175.84

Surface Area = 276.32 cm^2

Therefore, the appropriate surface area of the cylinder is 276.32 cm^2.