Two cylinder cans have the same volume. One can is triple the height of the other. If the narrow can has a radius of 12 inches, what is the radius of the wider can?

Question

Cynthia George · Accepted Answer

v  o  l  u  m  e  =  π  h      r          2      so can1=can2and in order to be the same the tall one must have a narrowerradius so  3  h  π      12          2        =  h  π      r          2      h and   π cancel  432  =      r          2        &amp;gt;&amp;gt;&amp;gt;  r  =  20.78

Sydney Stein · Accepted Answer

: LET WIDE CAN RADIUS BE R,NARROW BE r.HEIGHT OFWIDE CAN BE H,NARROW BE hVOLUME:WIDE CAN=NARROW CAN  π      R          2        H  =  π      r          2        h      R          2        H  =      r          2        h      R          2        H  =      r          2        3  H      R          2        =  3      r          2            R          2        =  3  ∗  144  R  =      3    ∗  12R=1.732*12=20.784(Ans)

Two cylinder cans have the same volume. One can is triple the height of the other. If the narrow can has a radius of 12 inches, what is the radius of the wider can?

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