Question

What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.? Use 3.14 to approximate pi, and express your final answer to the nearest hundredth.

Answer 1

The volume of a cone is modeled by the formula $V= \frac{1}{3} \pi r^2h$, where V is the volume, r is the radius, and h is the height.

We substitute our given values to get 

$V= \frac{1}{3} \pi(9)^2(12)= \frac{1}{3} \pi (81)(12) = 324 \pi \ in^3$

Now, we use an approximated value 3.14 for pi to get 1,017.36 cubic inches.