Question

The formula for the surface area of a cylinder is \[2\pi r(r+h)\] where \[r\] is the radius of the cylinder's base and \[h\] is its height. A certain pole has a cylinder-like shape, where the base's radius is \[10\] centimeters and the height is \[2\] meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answer 1

The estimated surface area of the pole is 4200π square centimeters.

In mathematics, surface area refers to the total measure of the exposed outer regions of a three-dimensional object. Its quantifies its extent in terms of square units.

To calculate the estimated surface area of the pole in question in square centimeters, we will use formula for the surface area of a cylinder.

Surface Area = 2 * π * r * (r + h)

r = = 10 centimeters

h = 2 meters = 2 * 100 cm = 200cm

Surface Area = 2 * π * 10 * (10 + 200)

Surface Area = 2 * π * 10 * 210

Surface Area = 4200π square centimeters.

Therefore, the estimated surface area of the pole is 4200π square centimeters.