anonymous
  • anonymous
Check my answer for medal and fan please Find the volume of a cone with a base radius of 5yd and a height of 6yd . Write the exact volume in terms of π , and be sure to include the correct unit in your answer.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I got 157
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anonymous
  • anonymous
\[Volume =\frac{ 1 }{ 3 }\pi r^2h=\frac{ 1 }{ 3 }\pi* 5^2*6 ~cubic~yards=?\]
anonymous
  • anonymous
I got 157 again

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anonymous
  • anonymous
so 157 yd^2
jim_thompson5910
  • jim_thompson5910
what is 5^2 equal to?
jim_thompson5910
  • jim_thompson5910
hints: 7^2 = 7*7 8^2 = 8*8 9^2 = 9*9 10^2 = 10*10 etc etc In general x^2 = x*x
anonymous
  • anonymous
25
jim_thompson5910
  • jim_thompson5910
now what is 25 times 6 equal to
anonymous
  • anonymous
150
jim_thompson5910
  • jim_thompson5910
now multiply that by 1/3
anonymous
  • anonymous
50
jim_thompson5910
  • jim_thompson5910
So you have computed \[\large \frac{1}{3}*5^2*6\] You found that \[\large \frac{1}{3}*5^2*6=50\]
jim_thompson5910
  • jim_thompson5910
Now just place the 'pi' back in \[\Large \frac{1}{3}\pi*5^2*6=50\pi\]
jim_thompson5910
  • jim_thompson5910
\(\Large 50\pi\) is the exact volume of this cone
anonymous
  • anonymous
sooo 50 *3.14 = 157?
jim_thompson5910
  • jim_thompson5910
when they say exact volume they mean in terms of pi. They even say "in terms of π" in the instructions. That means you do NOT replace pi with 3.14 and multiply. You just leave the pi alone. So it's simply \(\Large 50\pi\)
anonymous
  • anonymous
OH!!!!
jim_thompson5910
  • jim_thompson5910
157 would work for the approximate volume though
anonymous
  • anonymous
thank you. so its 50pi yd^2?
jim_thompson5910
  • jim_thompson5910
volume is always with "cubic" in it cubic feet cubic inches cubic millimeters etc
jim_thompson5910
  • jim_thompson5910
yd^2 = square yards = area or surface area
anonymous
  • anonymous
so its ^3
jim_thompson5910
  • jim_thompson5910
yes yd^3 = cubic yards
anonymous
  • anonymous
thanks
jim_thompson5910
  • jim_thompson5910
np

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