Answer:
<em>a) 6.4 x 10^-12 cm^3</em>
<em>b) 17 x 10^-6 mm^2</em>
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Explanation:
The complete question is...
Bacteria vary somewhat in size, but a diameter of 2.3 m is not unusual.
A. What would be the volume (in cubic centimeters) of such a bacterium, assuming that it is spherical? Express your answer using two significant figures.
B. What would be the surface area (in square millimeters) of such a bacterium, assuming that it is spherical?
Diameter of the bacteria d = 2.3 μm
Radius r = d/2 = 2.3/2 = 1.15 μm
The shape is assumed to be spherical
a) The volume = volume of a sphere =
V = = 6.3715 μm^3
1 μm^3 = 10^-12 cm^3
6.3715 μm^3 = 6.3715 x 10^-12 cm^3
==><em> 6.4 x 10^-12 cm^3</em>
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b) The surface area =
A = 4 x 3.142 x = 16.62 μm^2
1 μm^2 = 10^-6 cm^2
16.62 μm^2 = 16.62 x 10^-6 mm^2
==> <em>17 x 10^-6 mm^2</em>