An electron microscopist studying the eukaryotic green alga Chlorella vulgaris measures a spherical cell and its central nucleus. The diameter of the cell is 10.0 μm10.0\text{ }\mu\text{m}10.0 μm and the diameter of its nucleus is 4.0 μm4.0\text{ }\mu\text{m}4.0 μm. Inside the cytoplasm (the region of the cell outside the nucleus), the density of mitochondria is estimated to be 0.15 mitochondria per μm30.15\text{ mitochondria per }\mu\text{m}^30.15 mitochondria per μm3.
Calculate the estimated number of mitochondria present in this Chlorella cell. Assume both the cell and its nucleus are perfectly spherical.
The volume of a sphere is given by the formula V=43πr3\displaystyle V = \frac{4}{3}\pi r^3V=34πr3, where π=3.14\pi = 3.14π=3.14.
Give your answer to the nearest whole number. Show your working.
