As part of a fertility drug treatment plan to treat infertility, a patient is prescribed FSH and LH to stimulate follicle development. During an ultrasound scan to monitor the response to these hormones, a clinician measures the combined volume of all developing follicles in the patient's ovaries to be 21,500 mm321,500\text{ mm}^321,500 mm3. The mean diameter of these stimulated follicles is recorded as 14 mm14\text{ mm}14 mm.
Calculate the estimated number of follicles present in the patient's ovaries. Assume each follicle is a sphere where Volume of a sphere=43πr3\text{Volume of a sphere} = \frac{4}{3}\pi r^3Volume of a sphere=34πr3, rrr is the radius, and π=3.14\pi = 3.14π=3.14. Give your answer to the nearest whole number.