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Mathematics-Online problems:

Problem of the week

Rotating the cross section shown below around the $ x$-axis produces a (not particularly stable) vase.



\includegraphics[width=\linewidth]{vase.eps}

$\displaystyle f(x)$ $\displaystyle =$ $\displaystyle \sqrt{x+1}$  
$\displaystyle g(x)$ $\displaystyle =$ $\displaystyle \sqrt{x-2}$  

To the nearest gram, what is the weight of the vase if it is made of glass having a density of $ 2.5\,$g/cm$ ^3$?


Answer:

$ m =$ g


   

[solution to the problem of the previous week]