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

Answer:

$Amount = 55440in^3$

Step-by-step 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

$V = \frac{1}{3}\pi r^2h$

$V = \frac{1}{3} * \frac{22}{7} * 7^2 * 9$

$V = \frac{1}{3} * 22 * 7 * 9$

$V = 22 * 7 * 3$

$V = 462in^3$

So, the amount of foams needed for 120 is:

$Amount = 120 * V$

$Amount = 120 * 462in^3$

$Amount = 55440in^3$