Respuesta :

Answer:

Step-by-step explanation:

Recall that the volume of a sphere is equal to  [tex]\frac{4}{3} \pi r^{3}[/tex]. First, let's find the volume of 1 of these spheres:

[plug in value]

[tex]\frac{4}{3} \pi (2mm)^{3}[/tex]

[simplify]

[tex]\frac{32\pi}{3} mm^{3}[/tex] [exact]

or

33.51 mm³ [approximate]

We are not done yet because we have 8 of these spheres, not just one. Luckily for us, they are all the same dimensions, so we can multiply the area found by 8:

33.51 mm³ * (8)

268.1 mm³, which is the final answer.