Question 1080011


average diameter of a car cup holder is between {{{10.10cm}}} and {{{12cm}}}

so, average {{{radius}}} of a car cup holder is between {{{5.5cm}}} and {{{16cm}}}

if given volume must be {{{225cm^3}}}, than we have:


{{{pi*r^2*h=225 cm^3}}} ...........if  {{{r=5.5cm}}}

{{{3.14*(5.5cm)^2*h=225cm^3 }}}

{{{3.14*30.25cm^2*h=225cm^3 }}}

{{{94.985cm^2*h=225cm^3 }}}

{{{h=225cm^3 /94.985cm^2}}}

{{{h=2.37cm}}}

and

{{{pi*r^2*h=225cm^3}}} ...........if  {{{r=6cm}}}

{{{3.14*(6cm)^2*h=225cm^3}}}
 
{{{3.14*36cm^2*h=225cm^3 }}}

{{{113.04cm^2*h=225cm^3 }}}

{{{h=225cm^3 /113.04cm^2}}}

{{{h=1.99cm}}}

so, the {{{height}}} of your small cup design is between {{{1.99cm}}} and {{{2.37cm}}}