Quarters are packaged in rolls of 40. Each quarter has a diameter of 2.4 cm, and is 1.5 mm thick. Determine the volume and surface area of a roll of quarters.

Question

Determine the volume and surface area of a roll of quarters.

Answer 1

roll of 40 quarters

each quarter has diameter 2.4 cm and thickness 1.5 mm = .15 cm

what is the volume and surface area of the roll of quarters?

Volume = V = Lpir^2 where L= Length of the roll, and r = radius of the roll

Length = 40x.15 = 6 cm

radius = 2.4/2 = 1.2 cm

V =6pi(1.44) = 8.64pi cm^3

= about 8.64(3.14) = 27.13 cm^3

surface area = A = 2pirL + 2pir^2= 14.4pi + 2(1.2^2)pi

= 14.4pi + 2.88pi

= 17.28pi cm^2

= about 17.28(3.14)

= 54.26 cm^2