Question

Estimates of the number of cells in the human body vary over an order of magnitude.​ Indeed, the precise number varies from one individual to another and depends on whether you count bacterial cells. Complete parts​ (a) through​ (c) below. a. Assume that an average cell has a diameter of 5 micrometers ​(5 times 10 Superscript negative 6 ​meter), which means it has a volume of 50 cubic micrometers. How many cells are there in a cubic​ centimeter? Estimate the number of cells in a​ liter, using the fact that a cubic centimeter equals a milliliter. nothing cells per liter ​(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to two decimal places as​ needed.)

Answer 1

a) 2.00 × 10¹⁰; b) 2.00 × 10¹³

Explanation:

a) No. of cells in 1 cm³

`\text{No. of cells} =\text{1 cm}^(3) *\left( \frac{\text{1 m}}{\text{100 cm}}\right )^(3) * \left (\frac{1 \, \mu \text{m} }{10^(-6)\,\text{ m}}\right )^(3) *  \frac{\text{1 cell}}{\text{50 $\,\mu$m}^(3)} = \mathbf{2.00 * 10^(10)} \textbf{ cells}`

b) No. of cells in 1 L

`\text{No. of cells} =  \text{1 L} * \frac{\text{1000 cm}^(3)}{\text{1 L}} * \frac{2 * 10^(10) \text{ cells}}{\text{1 cm}^(3)} = \mathbf{2.00 * 10^(13)} \textbf{ cells}`