A scientist measured the diameter of a human white blood cell (lymphocyte) and the diameter of the nucleus inside it. The diameter of the cell was 12.0 μm12.0\text{ }\mu\text{m}12.0 μm and the diameter of the nucleus was 6.0 μm6.0\text{ }\mu\text{m}6.0 μm. The density of mitochondria in the cytoplasm of the cell (outside of the nucleus) was 0.05 mitochondria per μm30.05\text{ mitochondria per }\mu\text{m}^30.05 mitochondria per μm3. Calculate the estimated number of mitochondria in this cell. You should assume both the cell and its nucleus are spherical. The formula for the volume of a sphere is 43πr3\frac{4}{3}\pi r^334πr3 where π=3.14\pi = 3.14π=3.14. Give your answer to the nearest whole number. Show your working.
