Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

Trending News

Promoted
max
max asked in Science & MathematicsMathematics · 4 years ago

Geometry word problem?

A case is tightly packed with 6 cylindrical tin cans. Find the ratio of the volume of the box to the combined volumes of the cans.

3 Answers

Relevance
  • Steve A
    Lv 7
    4 years ago

    You could place on can atop the previous one (stack like tennis balls or Pringles). That would use almost 100%

  • Jim
    Lv 7
    4 years ago

    Did you square pack or stagger pack?

    I assume for simplicity, it's square.

    Vol = B*W*H

    For a tight 2x3 stack, as in pic below:

    V = 4r * 6r * h

    v = 24 r² *h

    The Vol of each can is 𝛑r² *h

    V = 6 * (𝛑r² *h)

    Ratio is (24 r² *h) / (6𝛑r² *h)

    Ratio is 4/𝛑

    Attachment image
  • ?
    Lv 5
    4 years ago

    Volume of 6 cans = 6πr²h

    Volume of 1 case with 6 cans = LWh = (6r)(4r)(h) = 24r²h

    Ratio = 24r²h/(6πr²h)

    Ratio = 4/π .................. [Ans.]

Still have questions? Get your answers by asking now.