Answer:
Thus, total surface area of soap is [tex]70.65~cm^2[/tex]
Step-by-step explanation:
We are given the following information in the question:
A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping.
Diameter of soap = 5 cm
Height of soap = 2 cm
Radius of soap = [tex]\displaystyle\frac{\text{Diameter}}{2} = \frac{5}{2} = 2.5~ cm[/tex]
Total surface area of soap = Total surface area of cylinder =
[tex]2\pi r h + \pi r^2 = 2\pi r(r+h)[/tex]
where h is the height of cylinder and r is the radius of cylinder.
Putting the values, we get,
Total surface area of soap = [tex]2\times 3.14\times 2.5(2.5 + 2) = 70.65~cm^2[/tex]
Thus, total surface area of soap is [tex]70.65~cm^2[/tex]