Question

The formula for the surface area of a cylinder is 2pi r(r+h) where rrr 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 10centimeters and the height is 2 meters. What calculation will give us the estimated surface area of the pole in square centimeters?

Answer 1

4200πcm²

Explanation:

Given the formula for the surface area of a cylinder as S = 2πr(r+h) where r is the radius of the cylinder's base and h is its height.

Given parameters

base radius of the cylindrical pole = 10 cm

Height of the cylindrical pole = 2 m

Since 100 cm = 1 m, then 2 m = 200 cm

Height of the cylindrical pole (in cm) = 200 cm

Required

Surface area of the pole (in cm²)

Using the formula for finding the surface area of a cylinder as shown above;

`S = 2\pi r(r+h)\\\\S = 2\pi (10)(10+200)\\\\S = 2\pi 10(210)\\\\S = 2\pi * 2100\\\\S = 4200\pi cm^2`

Hence the surface area of the pole in square centimetres is 4200πcm²