Question 1180554
given

 {{{r=6ft }}}
 {{{h=15ft}}}

a. Find the volume of the teepee.

{{{V=(1/3)r^2*h*pi}}}

{{{V=(1/3)(6ft)^2*15ft*pi}}}

{{{V = 565.47ft^3}}}

b. Find the least amount of material to cover the teepee.

the Surface Area of a Cone

{{{SA=pi*r^2+pi*r*s}}}

first find slant height {{{s}}}

{{{s=sqrt(6^2+15^2)}}}

{{{s=16.16ft}}}

then
{{{SA=pi*(6ft)^2+pi*6ft*16.16ft}}}
{{{SA=417.7ft^2 }}}

the least amount of material to cover the teepee is {{{417.7ft^2 }}}