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heather040200 Group Title

Help! I give medals:) pic below Find the volume.A hemispherical tank has a total surface area of 243pi squared(this includes the circular base area).Show work

  • one year ago
  • one year ago

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  1. heather040200 Group Title
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    |dw:1368065262840:dw|

    • one year ago
  2. heather040200 Group Title
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    @e.mccormick @timo86m @knock @mathslover think one of u could help me out plezz :)

    • one year ago
  3. timo86m Group Title
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    what is the formula for area of a sphere?

    • one year ago
  4. heather040200 Group Title
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    v=4/3pir^3

    • one year ago
  5. timo86m Group Title
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    it's A=4*Pi*r^2 but you want half so 2pi r^2=A solve for r :)

    • one year ago
  6. timo86m Group Title
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    2pi r^2=A A/(2 pi)=r^2 divide both sides by 2pi sqrt(A/(2 pi))=r take sqrt of both sides plug in the area in A :) sqrt((243*pi^2)/(2 * pi))=r

    • one year ago
  7. knock Group Title
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    I think you should include the surface of the circular base, doesn't?

    • one year ago
  8. timo86m Group Title
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    i get like 19.5

    • one year ago
  9. heather040200 Group Title
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    me to n the surface area they gave me is 243pi squared

    • one year ago
  10. heather040200 Group Title
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    then do i do SA=1/24pir^2

    • one year ago
  11. heather040200 Group Title
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    and v=1/2pi cubed

    • one year ago
  12. e.mccormick Group Title
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    Did you remember the base in the surface area formula?

    • one year ago
  13. heather040200 Group Title
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    is it S=B+1/2Cl=pir squared+pirl

    • one year ago
  14. razor99 Group Title
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    @ heather the volume of a hemisphere is 2/3 pi r^2

    • one year ago
  15. heather040200 Group Title
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    volume=253.5??

    • one year ago
  16. razor99 Group Title
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    I mean the formulae

    • one year ago
  17. heather040200 Group Title
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    so is the volume 253.5??

    • one year ago
  18. razor99 Group Title
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    me?

    • one year ago
  19. heather040200 Group Title
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    ya ig

    • one year ago
  20. razor99 Group Title
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    I guess so

    • one year ago
  21. e.mccormick Group Title
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    I got a very different number.

    • one year ago
  22. e.mccormick Group Title
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    Find the volume. A hemispherical tank has a total surface area of 243pi squared (this includes the circular base area). Show work Therefore: Half SA of Sphere + A of base = 243 SA Sphere = \(4\pi r^2\) A of Circle = \(\pi r^2\) \[\frac{1}{2}4\pi r^2+\pi r^2=243\\ \implies 3\pi r^2=243\\ \implies \pi r^2=81\\ \implies r^2=\frac{81}{\pi}\\ \implies r=\frac{9}{\sqrt{\pi}}\] Did you follow that for finding the radius?

    • one year ago
  23. razor99 Group Title
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    To radius I get 4.39 so when it get round off to 2 decimal its 4.40

    • one year ago
  24. razor99 Group Title
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    This is the volume 356.19

    • one year ago
  25. e.mccormick Group Title
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    Or just leave it with the root of pi since that will partially cancel in the next step when doing area. Always save constant conversion until the last step for greater accuracy.

    • one year ago
  26. e.mccormick Group Title
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    @razor99 r=4.39? How?

    • one year ago
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