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^3 Volume of a sphere=34πr3where rrr is the radius and π=3.14\pi = 3.14π=3.14. Give your answer to the nearest whole number.
62 exam-style questions on AQA GCSE Biology 5.3 Hormonal coordination in humans, covering 5.3.1 Human endocrine system, 5.3.2 Control of blood glucose concentration, 5.3.3 Maintaining water and nitrogen balance in the body, 5.3.4 Hormones in human reproduction, 5.3.5 Contraception, 5.3.6 The use of hormones to treat infertility (HT only), and 5.3.7 Negative feedback (HT only). Each one has a worked solution and a mark scheme showing where the marks go.