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Skittles10412

  • 3 years ago

5. Find the volume of the composite space figure to the nearest whole number. (1 point) 416 mm3 705 mm3 1,294 mm3 944 mm3

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  1. Skittles10412
    • 3 years ago
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  2. Skittles10412
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    @hairynmad

  3. hairynmad
    • 3 years ago
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    Find two separate volumes. You have a rectangular prism and a half cylinder.

  4. Skittles10412
    • 3 years ago
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    formulas lol

  5. hairynmad
    • 3 years ago
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    Well, we just did the cylinder. Do the same as before and take half. For the rectangular prism. V=L*W*H or just multiply all sides

  6. Skittles10412
    • 3 years ago
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    so i would do 6*9*11

  7. Skittles10412
    • 3 years ago
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    witch in that case would be 594

  8. hairynmad
    • 3 years ago
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    Yes, that's just the volume for the rectangular prism. Now you'll have to find the volume for the half cylinder as well.

  9. Skittles10412
    • 3 years ago
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    okay but no numbers are given for the base or hight of the half cylinder for me to find the volume

  10. hairynmad
    • 3 years ago
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    They are given. Just look.

  11. hairynmad
    • 3 years ago
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    what's V for cylinder again?

  12. Skittles10412
    • 3 years ago
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    so base is 9 or 6 and height is 11

  13. Skittles10412
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    for a cylinder V= B*h

  14. hairynmad
    • 3 years ago
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    height is right, 11 base is wrong

  15. Skittles10412
    • 3 years ago
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    base is not 9 or 6????

  16. Skittles10412
    • 3 years ago
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    for the answer choices there is no pi in any of the answers.

  17. hairynmad
    • 3 years ago
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    No, remember B is area so in square units so mm^2, not just mm or one dimensional

  18. Skittles10412
    • 3 years ago
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    but witch one would i use to square in order to get the base?? 9 or 6

  19. hairynmad
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    pi is included inside the answer

  20. hairynmad
    • 3 years ago
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    neither try to find area of the base NOT a line!!

  21. Skittles10412
    • 3 years ago
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    how would I do that????

  22. hairynmad
    • 3 years ago
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    you have half a cylinder so find the V like it's a full cylinder then to find the volume, take half of the full cylinder think of the base as a full circle

  23. Skittles10412
    • 3 years ago
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    so i would times everything by 2 to get the full volume or wht

  24. hairynmad
    • 3 years ago
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    No, for cylinder the base is a circle find area of the circle

  25. hairynmad
    • 3 years ago
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    A=pi*r^2

  26. hairynmad
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    to find area, you need?

  27. Skittles10412
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    okay but whats going to be the Radius in order to do that

  28. hairynmad
    • 3 years ago
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    Yes, you need the radius. Look at the picture.

  29. hairynmad
    • 3 years ago
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    It shows the diameter.

  30. Skittles10412
    • 3 years ago
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    it would be half of 9 witch is 4.5

  31. hairynmad
    • 3 years ago
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    right, now find the area then the volume of the half cylinder then add V of half cylinder to V of rectangular prism and that's the answer

  32. Skittles10412
    • 3 years ago
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    which if its 4.5 and you square that it would be 20.25pi

  33. Skittles10412
    • 3 years ago
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    okay so the V of a rectagular prism is 594 and and the v of the half cylinder is 222.75 and i add that up it = to 816.75 witch is just 817 witch is not one of the choices

  34. hairynmad
    • 3 years ago
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    you miscalculated somewhere on the cylinder

  35. hairynmad
    • 3 years ago
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    I calculated the right answer. It's one of the choices.

  36. Skittles10412
    • 3 years ago
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    i took 4.5^2 witch is 20.25 and that then becomes 20.25pi then i timed it by 11 and got 222.75

  37. hairynmad
    • 3 years ago
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    You did NOT account for half of the cylinder. You calculated it like it was a whole one. Take half of it.

  38. Skittles10412
    • 3 years ago
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    so i have to divide the answer 222.75 by 2

  39. hairynmad
    • 3 years ago
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    Of course, it's not showing a full cylinder.

  40. hairynmad
    • 3 years ago
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    Vcyl=B*h B=pi*r^2=pi*4.5^2 h=11 Vrect=LWH=11*9*6 Total Volume=Vrect + 0.5*Vcyl

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