Question

A company makes cones out of a solid foam. Each cone has a height of 9 inches, and it’s bade has a diameter of 5 inches. How much foam is needed to make 120 cones?

Answer 1

Answer:

Step-by-step explanation:

The volume of a cone is given by the following equation:

$V = \frac{πr^{2}h}{3}$

where $V$ is the volume of the cone, $r$ is the radius of the base, and $h$ is the height of the cone.

In the given problem, we know that $h = 9$ and $r = 2.5$. Using this, we can find the volume of a single cone:

$V = \frac{π(2.5)^{2}(9)}{3}$

$V = \frac{56.25π}{3}$

$V = 18.75π$

Since the problem asks how much foam is needed to make 120 cones, we can multiply this result to get our answer:

$120 * 18.75π$

$2250π$