Question

A. What volume (in cm^3) does 5.00 lbs of copper occupy? ( Density of copper= 8.96 g/cm^3 , 1lb=454g)

B. If the diameter of the wire is 1.25 mm, what is the radius in cm?

C. What is the cross sectional area of the wire in cm^2?

D. Determine the length of the wire in cm.

E. Convert your answer from part (d) to feet. (1in 2.54, 1ft= 12 in.)

Answer 1

A) Density = mass / volume

Volume = mass / density

Mass = 5.00 lbs = 5.00*454g = 2270g

Volume = 2270 g / 8.96 g/cm^3

Volume = 253.3 cm^3

B) D = 2r

Diameter = 1.25mm = 0.125 cm

r = D/2 = 0.125cm / 2

r = 0.0625 cm

C) area = π r^2

r = 0.0625 ; π = 3.14

area = (3.14)*(0.0625cm)^2

area = 0.012 cm^2

D) volume = π*r^2 *h

h = volume / π*r^2

Volume = 253.3 cm^3 ; r = 0.0039 cm^2

h = 253.3 cm^3 / 3.14* 0.0039cm^2

h = 253.3 cm^3 / 0.012246 cm^2

h = 20684.3 cm

E) convert cm to feet

20684.3 cm = 678.6 feet