A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5cm and the height is 2cm.

The formula you use is pi x radius ^ 2 + pi x radius x l (l stands for lateral height)

pi x 2.5^2 + pi x 2.5 (2)

3.14 x 6.25 + 3.14 x 5

19.6 + 15.7

= 35.3 cm^2

We would have two circles of 5cm diameter each, and a rectangle of the length pi*diameter and 2cm, so lets add them:

total = 2circles + rectangle

total = 2 (2*pi * (5/2) ^2) + pi*diameter*heigth

= 4*pi * (2.5) ^2 + pi*5*2

= 109.9

that is the surface area of a bar soap 109.9 cm^2