A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

hihi

  • 4 years ago

A sphere of clay is shape into a solid cylindrical figure. If the cylindrical figure is to be 5 cm high with a base radius of 4 cm, find the radius of the initial sphere of clay

  • This Question is Closed
  1. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[V _{c}=\pi r^2h \]

  2. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

  3. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait

  4. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What does Vc stand for?

  5. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[V _{c}=\pi (4)^2(5)=80\pi cm ^{3}\]

  6. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Volume of the cylinder

  7. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so then the answer would be 3.14X462x5?

  8. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i mean 3.14X4^2X5

  9. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So the sphere must have had the same volume. But the volume of a sphere is: \[V=\frac{4}{3}\pi r^3=80\pi\]

  10. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So we need to solve that for the radius of the sphere

  11. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i tried the method, its just that im not sure what the answer is, thank you for helping and all.

  12. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its just 3 problems which i dont get, i did the rest on my own.

  13. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We are not done yet. Why did you put in the answer?

  14. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i didnt put the answer

  15. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    3.91 is the answer

  16. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i got 3.93, are you sure its right?

  17. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    It's the 3rd root of 60. I got 3.91

  18. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you so much, i just have 2 more problems then im finished.

  19. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Good for you.

  20. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Wait can you tell me if i did this right: Find the volume of a cylinder of height 16 cm and base diameter 40 cm. I got 8038 CM cubed.

  21. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Hand on. I;m on the phone.

  22. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    k

  23. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    V= pi (20)^2(16)=20106.19

  24. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wait so was my answer correct, because i think i did the right way

  25. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Compare it with mine.

  26. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  27. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Did you use 20 for the radius instead of 40?

  28. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i added it up and the answer was: 20096 cm

  29. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think i might have used it

  30. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    There's nothing to add.

  31. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so this is the answer: 20106.19?

  32. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The question asked for the radius of the sphere. The radius of the sphere is 3.91 cm

  33. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hey your back?

  34. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep

  35. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Just got off the phone.

  36. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok so i did this problem by myself, tell me what you think:

  37. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

  38. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Find the volume of an equilateral triangular prism with triangles of side 4 cm and length 10 cm

  39. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i did area x height to get the answer so:

  40. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So what did you get for the area of the triangle?

  41. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so i got 12 rounded

  42. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i really got 11.994 so i rounded to 12, would that be right?

  43. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That seems to big.

  44. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

  45. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what would the answer be then?

  46. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Here is the triangle: |dw:1328744624957:dw|

  47. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya i did that

  48. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[A=\frac{1}{2}bh\]

  49. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so height equals=3.464, then to get area base X height so 3.464X2

  50. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    /2

  51. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[A=\frac{1}{2}(4)(2\sqrt{3})=4\sqrt{3}=6.93\]

  52. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh so the answer is 6.93?

  53. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That is the area of the base. To get the volume, you have to multiply that by the height.

  54. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  55. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so the answer is approximately 24?

  56. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    10(6.93)=69.3

  57. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i was wrong?

  58. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1328744898001:dw|

  59. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    See that picture? You have to take the area of the triangle and multiply it by the height of the prism which is 10

  60. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but i did 6.93x the height, which is 3.464, and i got 24, is that right?

  61. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you see that picture?????? The HEIGHT OF THE PRISM IS 10.

  62. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Multiply the AREA OF THE TRIANGLE BY THE HEIGHT OF THE PRISM

  63. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok thx

  64. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The height of the prism is 10

  65. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

  66. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328745230091:dw|

  67. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The shaded area of that

  68. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What part is shaded?

  69. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    all of the inside

  70. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1328745481111:dw|

  71. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Add the two areas together. 120+24 = 144

  72. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, great, thats what i got

  73. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1328745544210:dw|

  74. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    find the area

  75. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1328745737456:dw|

  76. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Is that a 39 or not?

  77. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    39 and 34 are to big dont you think?

  78. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes. What is that number you wrote on the left side of the drawing?

  79. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh thats 9

  80. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1328745967893:dw|

  81. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Is that it?

  82. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ya i think 7 and 4 are more reasponsible, considering thats what i got as well. Then i did 7X4+2X5, getting 38 m

  83. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is that correct?

  84. hihi
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hello?

  85. Mertsj
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That's what I got.

  86. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.