# Polynomial functions problem thinking question help?????

i do not get how to solve this question

A packaging company has been asked to make cylindrical cans that can hold a volume of 16π cm3. The company owns a machine that only makes cans that have a height which is the square of 3 less than the radius. To achieve the desired volume, what should the dimensions of the finished can be?

### 2 Answers

- Anonymous5 years agoFavorite Answer
radius = r

height = (r-3)^2

Volume = πr^2(h) = πr^2(r-3)^2 = 16π

Writ3 that as

r^2(r-3)^2 - 16 = 0

You don't want to have to solve a 4th degree equation. Fortunately, you don't have to. You have the difference of two squares, so you can easily factor that as

(r(r-3) - 4)(r(r-3) + 4) = 0 so one of those terms must = 0

Look at both of them to see all possible solutions.

r^2 -3r - 4 = 0

(r-4)(r+1) = 0 ==> r=4 is only sensible (positive) value.

r^2 - 3r + 4 = 0 has no real solutions.

Answer: 4cm radius, (4-3)^1 = 1 cm high.

Volume is π4^2(1) = 16π

- 5 years ago
If you want tho change your life then that is your guide https://tr.im/hx8PY , Manifestation Miracle.

With Manifestacion Miracle you may understand what the law states of attraction. The Manifestation Miracle does a great job of training you just how clearly you'll need to want something in order to do what' needed to be able to get it. Think of want exactly the same way you would consider a candle. If the candle is using solid then you'll push previous obstacles in order to get everything you want. If the candle is not burning at all, then you won't. Want is a using fireplace. Not only are you experiencing to have it, but also you have to help keep putting timber about it to help keep it burning.

This manual is really as easy since it gets and with it you'll have the ability to start believing in what' probable very fast.