SOLUTION: Senku discovers that the teepee with a circular floor has a radius length of 6 feet and a height of 15 feet. a. Find the volume of the teepee. b. Find the least amount of materia

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Question 1180554: Senku discovers that the teepee with a circular floor has a radius length of 6 feet and a height of 15 feet.
a. Find the volume of the teepee.
b. Find the least amount of material to cover the teepee.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
given
r=6ft+
h=15ft
a. Find the volume of the teepee.
V=%281%2F3%29r%5E2%2Ah%2Api
V=%281%2F3%29%286ft%29%5E2%2A15ft%2Api
V+=+565.47ft%5E3
b. Find the least amount of material to cover the teepee.
the Surface Area of a Cone
SA=pi%2Ar%5E2%2Bpi%2Ar%2As
first find slant height s
s=sqrt%286%5E2%2B15%5E2%29
s=16.16ft
then
SA=pi%2A%286ft%29%5E2%2Bpi%2A6ft%2A16.16ft
SA=417.7ft%5E2+
the least amount of material to cover the teepee is 417.7ft%5E2+