An Native American tepee is a conical tent. Find the number of cubic feet of air in a teepee 10 ft. in diameter and 12 ft. high.
Answer: Volume of conical tent is 314.28 cm³ .
Step-by-step explanation:
Since we have given that
Diameter of conical tent = 10 ft
Radius of conical tent is given by
\(\frac{10}{2}=5\ ft\)
Height of conical tent = 12 ft
We need to find the volume of conical tent.
As we know the formula for "Volume of cone":
\(Volume=\frac{1}{3}\times \pi r^2h\\\\Volume =\frac{1}{3}\times \frac{22}{7}\times 5\times 5\times 12\\\\Volume=314.28\ cm^3\)
Hence, Volume of conical tent is 314.28 cm³ .