Question

The diagram shows the dimensions of a teepee. Find the volume of the building to the nearest cubic unit. Use 3.14 for pi.

Answer 1

The volume of a cone uses the following formula:

$V = \pi r^{2} \frac{h}{3}$

Our diameter is 20 feet, so divide this by 2 to find the radius:

$20 \div 2 = 10$

We now have all of our values need to fill in the formula. Plug in these values:

$\pi = 3.14, r = 10, h = 17$

$3.14 * 10^{2} * \frac{17}{3}$

$3.14 * 100 * 5.67$

$314 * 5.67 = 1780.38$

The volume of the cone is 1780 cubic feet.