You just landed a job at the Bayless hatchery. Forrest asked you to estimate the

Question

You just landed a job at the Bayless hatchery. Forrest asked you to estimate the number of viable eggs in one of the hatching jars. You take a ruler and make some measurements. You take a few sample counts from the jar and look at them under a microscope. Here is what you find:

The radius of the McDonald Jar = 7.00”; The height of the jar = 18.00”; The height of the eggs in the Jar = 4.00”

You take three subsamples of 5 ml each and count 190, 189 and 175 eggs in each respective sample. You also count 20, 19 and 22bad eggs in each sample. You also remember that there are 16.387ml in a cubic inch.

Using the information above, what is the total number of eggs in the jar? (Hint: Make sure you convert cubic inches to ml to make your units)

Using the same information, how many fry could we expect to hatch from this jar?

Explanation / Answer

the jar is cylindrical in shape therefore its volue can be calculated by the formula pi x r2 x l

where pi = 3.14, r = 7 inch , l = 18

volume = 3.14 x 49 x 18

= 2769.48 cubic inches = 45383.46 ml

volume of eggs in the jar = 3.14 x 7 x7 x4

= 3.14 x 49 x 4

= 615.44 cubic inches = 10,085.21 ml

average no of good eggs in each sample = 190 + 189 + 175/ 3 = 184

average no of bad eggs in the same samples = 20 + 19 + 22 / 3 = 20

therefore the % of bad eggs in the sample is about, 20/ 204 = 9.8%

therefore if in 5 ml, there are 184 eggs, so in 10,085 ml, there would be 371,128 eggs

the total no of eggs in the jar are 371,128 eggs

the no. of fry that we could expect is 9.8/100 x 371,128 = 36370 bad eggs

371,128 - 36,370

= 334,758 healthy eggs or the number of fry that we could expect to hatch from the jar.

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