You may also like

problem icon

Archimedes and Numerical Roots

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

problem icon

More or Less?

Are these estimates of physical quantities accurate?

problem icon

Time to Evolve

How many generations would link an evolutionist to a very distant ancestor?

Biology Measurement Challenge

Age 14 to 16 Challenge Level:

The average dimension for each of the following objects is given in the table below:
 

  Length Cross - Sectional Area Volume Modelling by which solid?
Mitochondria 1 $\mu$m 0.79 $\mu$m$^2$ 0.79 $\mu$m$^3$ Cylinder
Arabis voch pollen 30 $\mu$m 706.9 $\mu$m$^2$ 14137 $\mu$m$^3$ Sphere
Ring stage of Plasmodium falciparum 1.5 $\mu$m 0.79 $\mu$m$^2$ 0.03 $\mu$m$^3$ Ring
Tuberculosis bacterium 2 $\mu$m 0.12 $\mu$m$^2$ 0.24 $\mu$m$^3$ Cylinder
Human red blood cell 8 $\mu$m 50 $\mu$m$^2$ 100 $\mu$m$^3$ Disc
Human nerve cell 2 $\mu$m 3 $\mu$m$^2$ 0.3 $\mu$m$^3$ Disc
The eye of a needle 1 mm 1 mm$^2$ 0.1 mm$^3$ Cuboid
Cat hair 3 cm 0.3 mm$^2$ 9 mm$^3$ Cylinder
Snowflake crystal 1 cm 0.79 cm$^2$ 0.17 cm$^3$ Sphere

 

Therefore, we can roughly rank these objects by length, volume and cross - sectional area.