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?

Respuesta :

Answer:

Total number of mitochondria [tex]= 177000[/tex]

Explanation:

Given ,

Diameter of spherical cell [tex]= 23[/tex]μm

Diameter of spherical mitochondria [tex]= 23[/tex]μm

Total volume of spherical cell

[tex]\frac{4}{3} \pi (23)^{3}[/tex]

Volume of cell occupied by mitochondria

[tex]\frac{17.7}{100}* \frac{4}{3} \pi (23)^3[/tex]

Number of mitochondria

[tex]\frac{\frac{17.7}{100}*\frac{4}{3}*\pi*(\frac{23}{2} )^3  }{\frac{4}{3}*\pi*(\frac{0.23}{2} )^3} \\= 177000[/tex]

Total number of mitochondria [tex]= 177000[/tex]

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