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?

1 Answer
Mar 21, 2017

Answer:

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

Explanation:

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#