anonymous
  • anonymous
Hello. I have tried this question three times and have gotten three different answers-none of them correct :( Please help! I will post a picture of the question to make it easier. What I tried: I tried finding the volume of the cone and then inputting that into the equation for the volume of the sphere, then trying to make r the subject.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
baru
  • baru
hi
baru
  • baru
the method you are using is correct

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baru
  • baru
what is the formula for volume of a cone?
anonymous
  • anonymous
Hi! The formula I am given is \[Volume= \frac{ 1 }{ 3 }\pi r ^{2}h\]
baru
  • baru
can you tell me what you got for volume of the cone after substituting r and h
anonymous
  • anonymous
I got 50.064 (rounded off)
baru
  • baru
ok...that looks fine. can you tell the formula for volume of a sphere
anonymous
  • anonymous
\[\frac{ 4 }{ 3 }\pi r ^{3}\]
baru
  • baru
so \[\frac{ 4 }{ 3 }\pi r ^{3}=50.06\]
baru
  • baru
solve for r what do you get?
anonymous
  • anonymous
3.46 (again rounded off)
anonymous
  • anonymous
I multiplied by 3, divided by 4, divided by pi and then found the cubed root
baru
  • baru
yes, the procedure is right, but i seem to get 2.88 do you know what the right answer is? what value did you use for \(\pi\)?
anonymous
  • anonymous
The answer is supposed to be 2.29 when rounded. I used my calculator value
anonymous
  • anonymous
maybe I press the wrong button? I will try again...
anonymous
  • anonymous
Ah!
anonymous
  • anonymous
I got it...I used the square root not the cubed root on the last step....I am so sorry!
baru
  • baru
ok, lets do it this way \[\frac{ 4 }{ 3 } \pi r^3=\frac{1}{3} \pi \times 2.4^2 \times 8.3\]
baru
  • baru
\(\pi ~and~ 1/3 \) cancel leaving \[4 r^3= \times 2.4^2 \times 8.3\]
anonymous
  • anonymous
Thank you so much for your help! I really do appreciate it, I am so sorry for wasting your time!
anonymous
  • anonymous
I was pressing the wrong button to get the cubed root and I was getting the squared root instead...
baru
  • baru
\[r^3= \frac{2.4^2 \times 8.3}{4}\]
baru
  • baru
oh..ok then :)
anonymous
  • anonymous
:D Thank you!!

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