# A quantity of alloy whose density is rho=19.3*g*cm^-3 is cast into a cylinder whose length is 25*cm, and whose diameter is 22*cm. What is the mass of the cylinder?

Mar 21, 2017

We take the volume of a cylinder.........and get a mass of approx. $400 \cdot l b s$

#### Explanation:

We take the volume of a cylinder.........

$\text{Volume of cylinder}$ $=$ $\pi \times {r}^{2} \times l$, where $r = \text{radius of a cylindrical face}$, and $l = \text{length of cylinder.}$

And thus..............

$\pi \times {\left(11.0 \cdot c m\right)}^{2} \times 25.0 \cdot c m \equiv 9503.3 \cdot c {m}^{3}$. WE get units of volume as required.

But we have been quoted the $\text{density"="Mass"/"Volume}$......

And thus $\text{mass"="density"xx"volume}$

$= 9503.3 \cdot \cancel{c {m}^{3}} \times 19.3 \cdot g \cdot \cancel{c {m}^{-} 3} = 183413.7 \cdot g$

You will have to convert this mass to $\text{libs}$; there are $454 \cdot g \cdot l {b}^{-} 1$.

"Mass in pounds"=(183413.7*cancelg)/(454*cancelg*lb^-1)=??lb