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Assume that an average cell has a diameter of
5
5 micrometers ​(
5 times 10 Superscript negative 6
5×10−6 ​meter), which means it has a volume of
50
50 cubic micrometers. How many cells are there in a cubic​ centimeter?

Respuesta :

aachen

Given that the volume of a cell is 50 cubic micrometers. It says to find the number of cells present in 1 cubic centimeter.

So we need to first convert the units of volume of a cell, then we can find the total number of cells in 1 cubic centimeter.

We know 1 meter = 100 centimeters = 1000000 micrometers

So 1 centimeter = 10000 micrometers

Taking Cubic powers on both sides :-

1 cubic centimeters = 10¹² cubic micrometers

1 cubic micrometers = 10⁻¹² cubic centimeters

50 cubic micrometers = 50 × 10⁻¹² = 5 × 10⁻¹¹ cubic centimeters

So volume of one cell = 5 × 10⁻¹¹ cubic centimeters

Number of cells = [tex] \frac{Total\;\; volume}{Volume\;\; of\;\; one\;\; cell} = \frac{1\;cm^{3}}{5 * 10^{-11}\;cm^{3}} = \frac{10^{11}}{5} [/tex] = 2 × 10¹⁰ cells.

So, total number of cells = 2 × 10¹⁰ cells.

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