Answer:
C
Step-by-step explanation:
Recall that the volume of a sphere is given by:
[tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]
Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:
[tex]\displaystyle \begin{aligned} V & =\frac{4}{3}\pi(15\text{ cm})^3 \\ \\ & = \frac{4}{3}\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}[/tex]
In conclusion, our answer is C.
