halimahahmad7 halimahahmad7
  • 11-05-2016
  • Mathematics
contestada

A cylinder has a volume of 432 cubic meters. What is the volume of a cylinder with dimensions one-third of the original?

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apologiabiology
apologiabiology apologiabiology
  • 11-05-2016
cylindervolume=hpir^2

V=432
432=hpir^2=original

if each is divided by 3 then
h turns to (1/3)h
r turns to (1/3)r
input  and find the effect

(1/3)hpi[(1/3)r]^2
(1/3)hpi(1/9)r^2
move 1/9 to front
(1/27)hpir^2
compared to original volume (which was hpir^2)

so therefor we multiply the original volume by 1/27

432*1/27=16

the new volume is 16 cubic meters
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