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 bacteriu

Question

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?

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Nem 2 months 2021-07-28T01:40:53+00:00 1 Answers 2 views 0

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    2021-07-28T01:42:37+00:00

    Answer:

    a) 6.4 x 10^-12 cm^3

    b) 17 x 10^-6 mm^2

    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 = \frac{4}{3} \pi r^3

    V = \frac{4}{3}*3.142* 1.15^3 = 6.3715 μm^3

    1 μm^3 = 10^-12 cm^3

    6.3715 μm^3 = 6.3715 x 10^-12 cm^3

    ==> 6.4 x 10^-12 cm^3

    b) The surface area = 4\pi r^2

    A = 4 x 3.142 x 1.15^2 = 16.62 μm^2

    1 μm^2 = 10^-6 cm^2

    16.62 μm^2 = 16.62 x 10^-6 mm^2

    ==> 17 x 10^-6 mm^2

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