Question

The teepees constructed by the Blackfoot Indians were cone-shaped tents made of long poles and animal hide, about 12 feet high and about 15 feet across at the ground. Estimate the volume of teepee with these dimensions,to the nearest cubic foot

Answer 1

707 cubic feet

Explanation:

To estimate the volume of a teepee with the given dimensions, you can consider it as a cone. The formula for the volume of a cone is:

Volume (V) = (1/3) * π * r^2 * h

Where:

π (pi) is approximately 3.14159.

r is the radius of the base of the cone.

h is the height of the cone.

In this case, the teepee has a height (h) of 12 feet, and the radius (r) is half of the diameter of the base, which is 15 feet / 2 = 7.5 feet.

Now, plug these values into the formula and calculate the volume:

V ≈ (1/3) * 3.14159 * (7.5 feet)^2 * 12 feet

V ≈ (1/3) * 3.14159 * 56.25 square feet * 12 feet

V ≈ (1/3) * 3.14159 * 675 cubic feet

V ≈ 706.857 cubic feet

Rounding to the nearest cubic foot, the estimated volume of the teepee is approximately 707 cubic feet.