Question

A teepee rents for $30 per night. It is 8 ft tall and has a diameter of 15 ft. What is the volume of the teepee?

A.1885 ft cube
B.235.6 ft cube
C.14137.2 ft cube
D.471.2 ft cube

Answer 1

The question requires calculating the volume of a teepee modeled as a cone. Using the formula V = (1/3)\u03c0r^2h with the given height and radius (half the diameter), the volume is found to be 471.2 ft cubed. The correct answer is D.471.2 ft cube.

Step-by-step explanation:

The question asks us to calculate the volume of a teepee, which can be modeled as a cone, given its height and diameter. The formula for the volume of a cone is V = (1/3)\u03c0r2h, where r is the radius of the base and h is the height of the cone. With a diameter of 15 ft, the radius is half of that, which is 7.5 ft. The height of the teepee is given as 8 ft. Plugging these values into the formula, we get:

V = (1/3)\u03c0(7.5 ft)2(8 ft)

Now, calculate the volume:

V = (1/3)\u03c0(56.25 ft2)(8 ft)

V = (1/3)(176.625 ft3)

V = 471.2 ft3

The correct answer is D.471.2 ft cube.