The volume of the sphere is 904.32 inch³.
Explanation:
Step 1:
The given sphere has a diameter of 12 inches, so the radius is
m.The volume of a sphere is given by multiplying
with π and the cube of the radius (r³).
The volume of a sphere,
![V = (4)/(3) \pi r^(3) .](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vuftw5pp6g80gz5gdy9sxl8fg6xavbb6p5.png)
Step 2:
Here the radius is 6 inches. We take π as 3.14.
The volume of a full sphere,
![V = (4)/(3) \pi r^(3) = (4)/(3) (3.14)(6^(3) ).](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xevxegqjycltqopgj8y4psqqpjsvoy97n6.png)
in³ .
The volume of the sphere is 904.32 inch³, This is the third given option.