Question

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.

Answer 1

`Amount = 55440in^3`

Explanation:

Given [Missing piece]

`h = 9in` --- height

`r = 7in` --- radius

`n = 120` --- number of cones

Required

How much foam for 120 cones

First, calculate the volume of 1 cone

`V = (1)/(3)\pi r^2h`

`V = (1)/(3) * (22)/(7) * 7^2 * 9`

`V = (1)/(3) * 22 * 7 * 9`

`V = 22 * 7 * 3`

`V = 462in^3`

So, the amount of foams needed for 120 is:

`Amount = 120 * V`

`Amount = 120 * 462in^3`

`Amount = 55440in^3`