Given:
Diameter = 7 mm
π=3.14
To determine the sphere's volume, we use the formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]
where:
V=Volume
r=radius
(Note: radius = diameter/2)
Since the diameter is 7mm, the radius is:
radius = diameter/2 = 7/2 = 3.5mm
We plug in r=3.5 mm and π=3.14 into the sphere's volume formula.
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ =\frac{4}{3}(3.14)(3.5)^3 \\ \text{Calculate} \\ V=179.5\text{ mm\textasciicircum{}3} \end{gathered}[/tex]
Therefore, the answer is 179.5 mm^3.
