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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    I got 157

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  2. anonymous
    • one year ago
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    \[Volume =\frac{ 1 }{ 3 }\pi r^2h=\frac{ 1 }{ 3 }\pi* 5^2*6 ~cubic~yards=?\]

  3. anonymous
    • one year ago
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    I got 157 again

  4. anonymous
    • one year ago
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    so 157 yd^2

  5. jim_thompson5910
    • one year ago
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    what is 5^2 equal to?

  6. jim_thompson5910
    • one year ago
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    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

  7. anonymous
    • one year ago
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    25

  8. jim_thompson5910
    • one year ago
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    now what is 25 times 6 equal to

  9. anonymous
    • one year ago
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    150

  10. jim_thompson5910
    • one year ago
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    now multiply that by 1/3

  11. anonymous
    • one year ago
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    50

  12. jim_thompson5910
    • one year ago
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    So you have computed \[\large \frac{1}{3}*5^2*6\] You found that \[\large \frac{1}{3}*5^2*6=50\]

  13. jim_thompson5910
    • one year ago
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    Now just place the 'pi' back in \[\Large \frac{1}{3}\pi*5^2*6=50\pi\]

  14. jim_thompson5910
    • one year ago
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    \(\Large 50\pi\) is the exact volume of this cone

  15. anonymous
    • one year ago
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    sooo 50 *3.14 = 157?

  16. jim_thompson5910
    • one year ago
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    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 \(\Large 50\pi\)

  17. anonymous
    • one year ago
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    OH!!!!

  18. jim_thompson5910
    • one year ago
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    157 would work for the approximate volume though

  19. anonymous
    • one year ago
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    thank you. so its 50pi yd^2?

  20. jim_thompson5910
    • one year ago
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    volume is always with "cubic" in it cubic feet cubic inches cubic millimeters etc

  21. jim_thompson5910
    • one year ago
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    yd^2 = square yards = area or surface area

  22. anonymous
    • one year ago
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    so its ^3

  23. jim_thompson5910
    • one year ago
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    yes yd^3 = cubic yards

  24. anonymous
    • one year ago
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    thanks

  25. jim_thompson5910
    • one year ago
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    np

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