Brandon151 Brandon151
  • 19-04-2016
  • Mathematics
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A cone has a diameter of 24cm and a volume of 2713cm3. What is best approximation of height of cone?

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apologiabiology
apologiabiology apologiabiology
  • 19-04-2016
V=(1/3)hpir^2
aprox

d=2r
d/2=r
d=24
r=24/2=12

V=2713

2713=(1/3)hpi(12^2)
2713=(1/3)hpi(144)
2713=48pih
divide both sides by 48
56.5208=hpi
aprox pi=3.14
divide both sides by 3.14
56.5208/3.14=h=18.0003
height=18cm
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