Question 1154286


The cochlea is a coiled {{{cylindrical}}} tube, so you need formula of volume of cylinder:

{{{V= pi*r^2*h }}}where  {{{r}}} is a radius and {{{h}}} is height (in your case length )


if a cochlear tube has a radius of {{{r=4.05mm}}} and  occupies {{{V=1.40cm^3}}}, 


{{{1.40cm^3= pi(4.05mm)^2*h }}}......convert {{{cm^3 }}}to {{{mm^3}}}: {{{1cm^3=1000mm^3}}}=>1.40cm^3= 1.40*1000mm^3=1400mm^3


{{{h=1400mm^3/(pi(16.4025mm^2))}}}

{{{h=1400mm/(pi(16.4025))}}}

{{{h=1400mm/51.52997350050658}}}

{{{h=27.169mm}}}=>the length of the coiled tube inside the ear