Question 1077098
{{{r}}}= cone's radius, in inches
{{{h=6r}}}= cone's height, in inches
The volume of a cone is
{{{(1/3)*pi*r^2*h}}} , so in this case, the volume (in cubic inches) is
{{{(1/3)*pi*r^2*6r=highlight(2pi*r^3=339.12)}}} .
All you have to do is solve for {{{r}}} ,
and then calculate{{{h=6r}}} .
Solving for r:
{{{2pi*r^3=339.12}}}
{{{r^3=339.12/"2 pi"=about53.972624}}}
{{{r=about}}}{{{root(3,53.972624)=about}}}{{{highlight(3.779)}}}
So, the radius, founded to the nearest hundredth is {{{highlight(3.78inches)}}} .
You can calculate the height,
but do not forget to write inches as the unit.