Liza wants to cover her cylindrical paper weight with a sticker paper. It has a radius of #4# cm and a height of #12# cm. How many square centimeters of sticker paper will she need? What is the area of the base?

1 Answer

Base Area #= 16pi = 50.24 cm^2#

Total sticker paper needed #= T S A = 401.92 cm^2#

Explanation:

Total surface area of the cylinder is #2pir^2 + 2pirh#

Given : #r = 4 cm, h = 12 cm#

# L S A = 2pirh = 2 * pi * 4 * 12 = 96pi#

Base area #A_b = pir^2 = pi * 4^2 = 16pi#

#T S A = L S A + 2 A_b = 96pi + 2*16*pi = 128pi#

#T S A = 401.92 cm^2#