Tuesday

September 2, 2014

September 2, 2014

Posted by **Jeremie** on Monday, December 10, 2012 at 10:05am.

f(x)=-24πx²+3x+x³-72π (where π=pi).

The height divided by the radius of my beer can is equal to the solution of :

(2k+3)^½+(k+1)^½=5.

Do not round π while finding the volume, diameter, and height of my beer can.

- math -
**Steve**, Monday, December 10, 2012 at 10:41amv = x^3 - 24πx^2 + 3x - 72π

= x(x^2+3) - 24π(x^2+3)

= (x-24π)(x^2+3)

The only real solution (required when sober) is x=24π

Now, we need to solve for k:

√(2k+3) + √(k+1) = 5

k=3

so, h/r = 3, meaning h = 3r

v = 24π = πr^2h = 3πr^3

24 = 3r^3, so r=2

I figure you can work out the answers to the questions now...

**Answer this Question**

**Related Questions**

math - Beer cans are right circular cylinders. My Mathematical Mead, My ...

algebra - Beer cans are right circular cylinders. My Algebraic Ale and ...

Intermediate college algebra - Beer cans are right circular cylinders. My ...

Intermediate college algebra - Beer cans are right circular cylinders. My ...

5th grade math - Larsen's class collected 137 cans. Schmidt's class collected 87...

geometry - In exercises 31-34, a cooler at a picnic contains 100 cans of soda ...

math - Chef Fabio went to the store and bought 2 cans of beans, 2 cans of ...

maths - Chef Fabio went to the store and bought 2 cans of beans, 2 cans of ...

Please Help!! Math - A display of cans on a grocery shelf consists of 20 cans on...

math - Olive Oyl sent Popeye and Wimpy out to get spinach and burgers. They ...