During an IVF assessment, a clinician measures the development of follicles in a patient's ovaries. Analysis shows the total volume of all developing follicles combined is $25,000{mm}^3$. The mean diameter of these follicles is $20mm$. Calculate the number of follicles in the patient's ovaries. Assume each follicle is a sphere where $Volume\; of\; a\; sphere=\frac{4}{3}\pi r^3$, $r$ is the radius, and $\pi =3.14$. Give your answer to the nearest whole number.