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?

zabuheljz 2022-08-08 Answered
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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Answers (2)

Cynthia George
Answered 2022-08-09 Author has 10 answers
v o l u m e = π h r 2
so can1=can2
and 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 >>> r = 20.78
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Sydney Stein
Answered 2022-08-10 Author has 3 answers
: LET WIDE CAN RADIUS BE R,NARROW BE r.
HEIGHT OFWIDE CAN BE H,NARROW BE h
VOLUME: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 12
R=1.732*12=20.784(Ans)
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