Finding the Space Between Lead Shots

Plan 1

By Mass

Lead Shot

1 - Empty box, m ₁

2 - Box filled with Lead, m ₂

3 - Box filled with Lead and H ₂ 0, m ₃

4 - Box filled with H ₂ 0, m ₄

m _Pb = m ₂ - m ₁

V _Pb = (m ₂ - m ₁) / ρ _Pb

m _{H 2 0} = m ₃ - m ₂

V _{H 2 0} = (m ₃ - m ₂) / ρ _Pb = V _SP (The space between the lead)

ratio = V _Pb / V _tot

Plan 2

By Volume

1 - V _{H 2 0 1} = V _tot

2 - V _{H 2 0 2} = V _SP

V _Pb = V _tot - V _SP

R = V _Pb / V _tot = (V _tot - V _SP) / V _tot => 1 - (V _SP / V _tot)

Experiment

Plan 1

We had 2 scales to measure the weight. Let's call them scale #1 and scale #2, measurement on them were called weight #1 and Weight respectively.

|- |Mesurements |Discriptions |masses |weight #1 (£) |weight #2 (£) |Weight AVE (£) |Weight AVE (g) |- |1 ||Box || 0.02401 ||0.00402076 ||[math]1.26*10^{11}[/math] ||[math]2.01*10^{-2}[/math] |- |2 ||Box+Pb ||0.00676 ||0.00842972 ||[math]2.63*10^{10}[/math] ||[math]4.21*10^{-3}[/math] |- |3 ||Box+Pb+[math]H_{2}\lt /math}O ||0.01616 || 0.0251288||\lt math\gt 7.84*10^{10} [/math] ||[math]1.26*10^{-2}[/math] |- |4 ||Box+[math]H_{2}\lt /math}O ||0.01384 ||0.02116136 ||\lt math\gt 6.60*10^{10}[/math] ||[math]1.06*10^{-2}[/math] |- |}