Question

Bacteria vary in size, but a diameter of 2.0$\mathit{\mu }$ m is not unusual. What are the volume (in cubic centimeters) and surface area (in square millimeters) of a spherical bacterium of that size? (Consult Appendix B for relevant formulas) .

Short answer

Given

Bacteria Diameter =2.0 $\mu$m.

Radius r =1$\mu$m

Step-by-step solution

Step1(Calculation of Volume in cubic centimeters )

As we know that

Volume =$\frac{4}{3}\tau \tau r^3$

=4/3(3.14)(1)³

Volume of bacteria=4.19x10^-12cm³

Step 2(Calculation of surface area of bacteria in millimeter square)

Surface area=$4{\mathrm{\pi r}}^2$

=4x3.14(1)²

Surface area=1.26x10^-5mm²

Step3(Conclusion )

Volume of bacteria=4.19x10^-12cm³ andSurface area=1.26x10^-5mm²