Answered

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A company makes cones out of solid foam. Each cone has a height of inches, and its base has a radius of inches. How much foam is needed to make cones? Use for , and do not round your answer.

Sagot :

MrRoyal

Answer:

[tex]Amount = 55440in^3[/tex]

Step-by-step explanation:

Given [Missing piece]

[tex]h = 9in[/tex] --- height

[tex]r = 7in[/tex] --- radius

[tex]n = 120[/tex] --- number of cones

Required

How much foam for 120 cones

First, calculate the volume of 1 cone

[tex]V = \frac{1}{3}\pi r^2h[/tex]

[tex]V = \frac{1}{3} * \frac{22}{7} * 7^2 * 9[/tex]

[tex]V = \frac{1}{3} * 22 * 7 * 9[/tex]

[tex]V = 22 * 7 * 3[/tex]

[tex]V = 462in^3[/tex]

So, the amount of foams needed for 120 is:

[tex]Amount = 120 * V[/tex]

[tex]Amount = 120 * 462in^3[/tex]

[tex]Amount = 55440in^3[/tex]

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