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]
