# Have a very difficult problem that I have not been able to figure out! Try it out

• September 20th 2012, 11:08 AM
Showlito
Have a very difficult problem that I have not been able to figure out! Try it out
Been stuck, some of the work would be nice if you can provide it and how you got to your answer.A sphere has a diameter of 2,160 meters. How many meters long is “Unit X” if the surface of the sphere, measured in square Units X is equal to the volume of the sphere measured in cube Units X? Round to the nearest whole number.
• September 20th 2012, 11:19 AM
MarkFL
Re: Have a very difficult problem that I have not been able to figure out! Try it out
Let $x=k\text{ m}$ where $k\ne0$, thus the radius of the sphere in meters is:

$r=\frac{1880}{k}$

Equating the surface area and volume, we have:

$4\pi\left(\frac{1880}{k} \right)^2=\frac{4}{3}\pi\left(\frac{1880}{k} \right)^3$

Now, solve for k.