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
![V=(4)/(3)\pi r^3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zraet4fw93vx9gjz3iextthjo546ibcpwc.png)
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
![V=(4)/(3)\text{ x 7}^3*\pi\text{ }](https://img.qammunity.org/2023/formulas/mathematics/college/ozl5yeublad5su3b6urh2ejqmkgimjqq8x.png)
![\begin{gathered} V=\frac{4\text{ x 343}}{3}\pi \\ V=457.3\pi \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/flh5bjj830mih4q75uhm9oknmfk36k87c1.png)
The answer is
![V=457.3\pi\text{ (to the nearest tenth)}](https://img.qammunity.org/2023/formulas/mathematics/college/hb9xzpbf04himkzfwf7rs181df8kyiaksc.png)