During an IVF cycle, a fertility specialist administers FSH and LH to stimulate follicle maturation in a patient's ovaries. An ultrasound scan determines that the combined volume of all matured follicles is 42,500 mm342,500\text{ mm}^342,500 mm3. The mean diameter of these follicles is measured to be 18 mm18\text{ mm}18 mm.
Calculate the estimated number of matured follicles 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
where rrr is the radius and π=3.14\pi = 3.14π=3.14. Give your answer to the nearest whole number.