A marine biologist is analyzing a high-resolution scientific illustration of a marine diatom, Coscinodiscus, captured using a light microscope at a magnification of ×1500\times 1500×1500. The biologist measures the line C−DC-DC−D representing the diameter of the diatom on the illustration as 117 mm117\text{ mm}117 mm.
State the length of line C−DC-DC−D on the illustration in micrometres (μm\mu\text{m}μm), given that 1 mm=1000 μm1\text{ mm} = 1000\ \mu\text{m}1 mm=1000 μm.
Calculate the actual diameter of the diatom cell in micrometres (μm\mu\text{m}μm) using the formula:
actual diameter=length of line C−D (in μm)magnification\text{actual diameter} = \frac{\text{length of line } C-D\text{ (in } \mu\text{m}\text{)}}{\text{magnification}}actual diameter=magnificationlength of line C−D (in μm)