Question

3. Each bangle printed by a 3D printer has a mass of exactly 25 g of metal. If the density of the metal is 14 g/cm3, what length of a wire 1 mm in radius is needed to produce each bangle? Find your answer to the tenths place.

Answer 1

57.0 cm

Explanation:

We know that the radius of the filament is 1 mm. Taken to cm, is 0.1 cm.

From the density and mass, we can get the volumen of the bangle:

d = m/V ----> V = m/d

Solving for V:

V = 25 / 14 = 1.79 cm^3

We can assume that a bangle is a cylinder so:

V = π*r^2*h

1.79 = 3.14 * 0.1^2 * h

h = 1.79 / 3.14 * 0.01

h = 57.0 cm