anonymous
  • anonymous
Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inches 8 inches 10 inches
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
the first thing is the formula, what is the formula?
anonymous
  • anonymous
Im not sure
anonymous
  • anonymous
let that equal your volume i.e. \[pixr^2x (h/3) = 104.67 cm^3\]

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anonymous
  • anonymous
Now, you are given the height = 4 inches so, \[\pi x r^2 x (4/3) = 104.67 cm^3\]
anonymous
  • anonymous
Yes
anonymous
  • anonymous
now, lets isolate the r^2
anonymous
  • anonymous
so \[\pi x (4/3) = \]
anonymous
  • anonymous
roughly 4.18879
anonymous
  • anonymous
so now you have 4.18879 r^2 = 104.67 cm^3
anonymous
  • anonymous
dividing across, we get \[104.67cm^3/4.18879 = 24.988 cm^3\]
anonymous
  • anonymous
Okay
anonymous
  • anonymous
r^2 = 24.988cm^3
anonymous
  • anonymous
Sorry im so confused with this question
anonymous
  • anonymous
\[r= \sqrt{24.988}\]
anonymous
  • anonymous
r= 4.99
anonymous
  • anonymous
OH
anonymous
  • anonymous
So its ten
anonymous
  • anonymous
try it now: \[V= \pi x r^2 x (h/3)\]
anonymous
  • anonymous
\[V= \pi x (5)^2 x (4/3)\]
anonymous
  • anonymous
Now since r= 5, and d= 2r, then the diameter must be 10inches
anonymous
  • anonymous
Yes i get it now thank you so much
anonymous
  • anonymous
You're very welcome!

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