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

Answer:

a) 2.00 × 10¹⁰;  b) 2.00 × 10¹³

Step-by-step explanation:

a) No. of cells in 1 cm³

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

b) No. of cells in 1 L

$\text{No. of cells} = \text{1 L} \times \dfrac{\text{1000 cm}^{3}}{\text{1 L}} \times \dfrac{2 \times 10^{10} \text{ cells}}{\text{1 cm}^{3}} = \mathbf{2.00 \times 10^{13}} \textbf{ cells}$