We have been image of a sphere. We are asked to find the volume of our given sphere.
We will use volume of sphere formula to solve our given problem.
[tex]V=\frac{4}{3}\pi r^3[/tex], where r represents radius of the sphere.
We can see that the radius of our given sphere is 10 cm.
[tex]V=\frac{4}{3}\cdot 3.14\cdot (\text{10 cm})^3[/tex]
[tex]V=\frac{4}{3}\cdot 3.14\cdot 1000\text{ cm}^3[/tex]
[tex]V=\frac{4}{3}\cdot 3140\text{ cm}^3[/tex]
[tex]V=4186.6666\text{ cm}^3[/tex]
Upon rounding to nearest tenth, we will get:
[tex]V\approx 4186.7\text{ cm}^3[/tex]
Therefore, the volume of the given sphere is approximately [tex]4186.7\text{ cm}^3[/tex] and last option is the correct choice.
