Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?
Hint: density = mass/volume

So, let x be the volume in cubit centimeters.

the mass is to the volume is as the mass is to the volume

3.5g /(1 cm3) = 0,1g / (x cm3)

Cross-multiply to get:

3.5x = 0.1

x = 0.1 / 3.5 (divide both sides by 3.5)

x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.