Answer:
73.8 cubic mm.
Step-by-step explanation:
The volume of a square V is given by the formula:
[tex]V= \frac{4}{3}\pi r^{2}[/tex] where r is the radius of the sphere.
We also know that the diameter is two times the radius, so in this case if the diameter is 8.4 mm, then the radius is 4.2 mm.
Now we substitute the information in the formula, taking into account that we are going to use the value of 3.14 for [tex]\pi[/tex].
[tex]V= \frac{4}{3}\pi r^{2}\\ V= \frac{4}{3}(3.14)(4.2)^{2} \\V=\frac{(4)(3.14)(17.64)}{3} \\V=\frac{221.55}{3}=73.8528[/tex]
Which rounded to the nearest tenth is 73.8. Thus, the sphere's volume is 73.8 cubic mm.
