Step1: analyze the image given:
The image given in the question is a sphere
Step2: Give the formula to be used
The volume of a sphere is given by
[tex]V=\frac{4}{3}\pi r^3[/tex]
Step 3: Obtain the radius of the figure
The diameter of the sphere is given to be 14m
Radius is half the diameter
Hence, the radius will be 7m
Step 4: Substitute the value of r=7 into the formula
[tex]V=\frac{4}{3}\text{ x 7}^3\times\pi\text{ }[/tex][tex]\begin{gathered} V=\frac{4\text{ x 343}}{3}\pi \\ V=457.3\pi \end{gathered}[/tex]
The answer is
[tex]V=457.3\pi\text{ (to the nearest tenth)}[/tex]
