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?
Accepted Solution
A:
Answer:Step-by-step explanation:The volume of a cone is given by the following equation:[tex]V = \frac{πr^{2}h}{3}[/tex]where [tex]V[/tex] is the volume of the cone, [tex]r[/tex] is the radius of the base, and [tex]h[/tex] is the height of the cone.In the given problem, we know that [tex]h = 9[/tex] and [tex]r = 2.5[/tex]. Using this, we can find the volume of a single cone:[tex]V = \frac{π(2.5)^{2}(9)}{3}[/tex][tex]V = \frac{56.25π}{3}[/tex][tex]V = 18.75π[/tex]Since the problem asks how much foam is needed to make 120 cones, we can multiply this result to get our answer:[tex]120 * 18.75π[/tex][tex]2250π[/tex]