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

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Answer 1 · 2017-03-21T07:27:12

We take the volume of a cylinder.........and get a mass of approx. $400*lbs$

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

$"Volume of cylinder"$ $=$ $pixxr^2xxl$ , where $r="radius of a cylindrical face"$ , and $l="length of cylinder."$

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

$pixx(11.0*cm)^(2)xx25.0*cm-=9503.3*cm^3$ . WE get units of volume as required.

But we have been quoted the $"density"="Mass"/"Volume"$ ......

And thus $"mass"="density"xx"volume"$

$=9503.3*cancel(cm^3)xx19.3*g*cancel(cm^-3)=183413.7*g$

You will have to convert this mass to $"libs"$ ; there are $454*g*lb^-1$ .

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

A quantity of alloy whose density is rho=19.3*g*cm^-3rho=19.3*g*cm^-3 is cast into a cylinder whose length is 25*cm25*cm, and whose diameter is 22*cm22*cm. What is the mass of the cylinder?