EXPLANATION
The volume of a sphere is given by the following relationship:
[tex]\text{Volume}=\frac{4}{3}\cdot\pi\cdot(r)^3[/tex]Replacing terms:
[tex]\text{Volume = }\frac{4}{3}\cdot\pi\cdot(10)^3[/tex][tex]\text{Volume = }\frac{4}{3}\cdot3.14\cdot1000[/tex]Multiplying numbers:
[tex]\text{Volume = 4186.67 yd}^3[/tex]The answer is 4,186.67 yd^3
