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Assume that a spherical cell, with a diameter of 23 μm, has spherical mitochondria, each with a diameter of 0.23 μm. If mitochondria occupy 17.7% of the volume of the cell, how many mitochondria are there?

User Bnjmn
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1 Answer

6 votes

Answer:

Total number of mitochondria
= 177000

Step-by-step explanation:

Given ,

Diameter of spherical cell
= 23μm

Diameter of spherical mitochondria
= 23μm

Total volume of spherical cell


(4)/(3) \pi (23)^(3)

Volume of cell occupied by mitochondria


(17.7)/(100)* (4)/(3) \pi (23)^3

Number of mitochondria


((17.7)/(100)*(4)/(3)*\pi*((23)/(2) )^3  )/((4)/(3)*\pi*((0.23)/(2) )^3) \\= 177000

Total number of mitochondria
= 177000

User RaphaMex
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