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anonymous

  • one year ago

Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. The radius of the snow cone is 4 inches, and the height of the cone is 6 inches. If the diameter of the bubble gum is 0.8 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?

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  1. anonymous
    • one year ago
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    1 over 3(3.14)(62)(4) − 4 over 3(3.14)(0.43) 1 over 3(3.14)(42)(6) − 4 over 3(3.14)(0.43) 1 over 3(3.14)(62)(4) − 4 over 3(3.14)(0.83) 1 over 3(3.14)(42)(6) − 4 over 3(3.14)(0.83)

  2. anonymous
    • one year ago
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    @peachpi

  3. anonymous
    • one year ago
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    you want to subtract the volume of the sphere from the volume of the cone. cone: \[V=\frac{ \pi }{ 3 }\pi r^2h\] r = radius, h = height sphere: \[V=\frac{ 4 }{ 3 }\pi r^3\] r = radius

  4. anonymous
    • one year ago
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    Ok so V of cone=pi/3pi4^2x6

  5. anonymous
    • one year ago
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    and V of sphere= 4/3pi4^3?

  6. anonymous
    • one year ago
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    the cone is right. The sphere should be (4/3)π(0.4)^3

  7. anonymous
    • one year ago
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    Oh alright, so then i subtract pi/3pi4^2x6-(4/3)pi(o.4)^3

  8. anonymous
    • one year ago
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    yes

  9. anonymous
    • one year ago
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    wait hold up. I put an extra π in the cone equation by mistake. There should only be one π there

  10. anonymous
    • one year ago
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    so it would pi over 3? or pi r squared?

  11. anonymous
    • one year ago
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    it would be pi*

  12. anonymous
    • one year ago
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    @peachpi

  13. anonymous
    • one year ago
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    It's (π/3)r²h so (π/3)(4^2)(6)

  14. anonymous
    • one year ago
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    I got 66.87

  15. anonymous
    • one year ago
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    No wait sorry

  16. anonymous
    • one year ago
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    that's not what they're asking for lol

  17. anonymous
    • one year ago
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    yeah, actually looking at your choices they just want you to set it up, not solve for a number

  18. anonymous
    • one year ago
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    Yeah my bad, so the answer would be the 2nd option then

  19. anonymous
    • one year ago
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    1 over 3(3.14)(4^2)(6) − 4 over 3(3.14)(0.4^3)

  20. anonymous
    • one year ago
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    yes

  21. anonymous
    • one year ago
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    alright thanks lol i have this super complex question if u can solve it i will be eternally grateful!!

  22. anonymous
    • one year ago
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    i'll give it a try

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