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Pure Silver One

Pure Silver One
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1974 USS CONSTITUTION One Troy Ounce PURE SILVER COIN scrap
1974 USS CONSTITUTION ONE TROY OUNCE PURE SILVER COIN scrap $20.00
Time Remaining: 9d 10h 38m
Buy It Now for only: $20.00

2011 PCGS Certd Gem BU FIRST STRIKE China PANDA One Oz PURE SILVER 10 YUAN
2011 PCGS Certd Gem BU FIRST STRIKE China PANDA One Oz PURE SILVER 10 YUAN $29.99
Time Remaining: 19d 22h 13m
Buy It Now for only: $29.99

4 2017 American Silver Eagle Coins One Ounce Pure Silver
4 2017 American Silver Eagle Coins One Ounce Pure Silver $27.16 (12 Bids)
Time Remaining: 12h 15m

4 2017 American Silver Eagle Coin One Ounce Pure Silver 999 Fine
4 2017 American Silver Eagle Coin One Ounce Pure Silver 999 Fine $22.50 (11 Bids)
Time Remaining: 11h 16m

One Ounce Silver ROUND APMEX BRAND 999 Pure Silver Bullion FREE SHIP
ONE OUNCE SILVER ROUND APMEX BRAND 999 PURE SILVER BULLION FREE SHIP $21.50 (7 Bids)
Time Remaining: 7d 17h 20m

4 2017 American Silver Eagle Coins One Ounce Pure Silver 999 Fine
4 2017 American Silver Eagle Coins One Ounce Pure Silver 999 Fine $41.09 (10 Bids)
Time Remaining: 11h 18m

2006 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver SEE OUR STORE
2006 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver SEE OUR STORE $15.01 (7 Bids)
Time Remaining: 19h 9m

ONE HALF POUND Huge 6 Oz 2000 WALKING LIBERTY 999 PROOF Pure SILVER COIN ROUND
ONE HALF POUND Huge 6 Oz 2000 WALKING LIBERTY 999 PROOF Pure SILVER COIN ROUND $179.95
Time Remaining: 24d 21h 23m
Buy It Now for only: $179.95

4 2017 American Silver Eagle Round Coins One Ounce Pure Silver 999 Fine
4 2017 American Silver Eagle Round Coins One Ounce Pure Silver 999 Fine $20.67 (11 Bids)
Time Remaining: 11h 20m

1984 Liberty Silver One Troy Ounce 999 Pure Silver Coin
1984 Liberty Silver One Troy Ounce 999 Pure Silver Coin $19.19 (4 Bids)
Time Remaining: 11h 49m

1994 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE
1994 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE $20.50 (9 Bids)
Time Remaining: 3d 19h 15m

2001 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE
2001 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE $16.50 (5 Bids)
Time Remaining: 3d 19h 42m

1991 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SPOTTED TONING
1991 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SPOTTED TONING $17.51 (10 Bids)
Time Remaining: 3d 19h 37m

10 Gram Atlantis Mint Hand Poured Silver Bar 999 Pure Silver One Bar
10 Gram Atlantis Mint Hand Poured Silver Bar 999 Pure Silver One Bar $12.00
Time Remaining: 8d 11h 1m
Buy It Now for only: $12.00

Nicely Presented US Mint Issued Proof 1994 P One Ounce Pure Silver Eagle Dollar
Nicely Presented US Mint Issued Proof 1994 P One Ounce Pure Silver Eagle Dollar $61.00 (13 Bids)
Time Remaining: 3d 19h 33m

2000 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE
2000 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE $17.51 (7 Bids)
Time Remaining: 3d 19h 18m

2010 One Onza Pure Silver Mexico 999 Silver Coin Orig Box Case 23337
2010 One Onza Pure Silver Mexico 999 Silver Coin Orig Box Case 23337 $35.00
Time Remaining: 21d 17h 37m
Buy It Now for only: $35.00

ONE Ounce Silver Round APMEX BRAND 999 PURE SILVER BULLION FREE SHIP
ONE OUNCE SILVER ROUND APMEX BRAND 999 PURE SILVER BULLION FREE SHIP $17.00 (4 Bids)
Time Remaining: 8d 17h 24m

ONE OUNCE SILVER ROUND APMEX LABEL 999 PURE SILVER BULLION FREE SHIP
ONE OUNCE SILVER ROUND APMEX LABEL 999 PURE SILVER BULLION FREE SHIP $19.38 (6 Bids)
Time Remaining: 1d 18h 50m

One Silver Monarch 1 Troy Oz Pure Silver 999 Fine
One Silver Monarch 1 Troy Oz Pure Silver 999 Fine $45.00
Time Remaining: 2d 12h 24m
Buy It Now for only: $45.00

ONE OUNCE SILVER ROUND APMEX LABEL 999 PURE SILVER BULLION FREE SHIP
ONE OUNCE SILVER ROUND APMEX LABEL 999 PURE SILVER BULLION FREE SHIP $17.00 (6 Bids)
Time Remaining: 8d 17h 42m

ONE OUNCE SILVER ROUND APMEX BRAND 999 PURE SILVER BULLION FREE SHIP
ONE OUNCE SILVER ROUND APMEX BRAND 999 PURE SILVER BULLION FREE SHIP $18.05 (5 Bids)
Time Remaining: 2d 18h 28m

2012 PURE Silver One Ounce VIENNA PHILHARMONIC AUSTRIAN COIN
2012 PURE SILVER ONE OUNCE VIENNA PHILHARMONIC AUSTRIAN COIN $99.99
Time Remaining: 16h 22m
Buy It Now for only: $99.99

2011 PURE SILVER ONE OUNCE VIENNA PHILHARMONIC AUSTRIAN COIN
2011 PURE SILVER ONE OUNCE VIENNA PHILHARMONIC AUSTRIAN COIN $99.99
Time Remaining: 16h 14m
Buy It Now for only: $99.99

JFK IGNOT ONE OUNCE PURE SILVER 999 FINE EXCELLENT CONDITION
JFK IGNOT ONE OUNCE PURE SILVER 999 FINE EXCELLENT CONDITION $99.95
Time Remaining: 21d 11h 52m
Buy It Now for only: $99.95

1997 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SPOTTED TONING
1997 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SPOTTED TONING $15.50 (8 Bids)
Time Remaining: 3d 19h 35m

2002 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SPOTTED TONING
2002 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SPOTTED TONING $12.50 (5 Bids)
Time Remaining: 3d 19h 39m

one Troy ounce 999 pure silver bullion Liberty Head E Pluribus unum USA
one Troy ounce 999 pure silver bullion Liberty Head E Pluribus unum USA $34.99
Time Remaining: 3d 14h 38m
Buy It Now for only: $34.99

One Ounce Pure Silver Bar 999 Fine 1976 200 Years of Independence
One Ounce Pure Silver Bar 999 Fine 1976 200 Years of Independence $50.00
Time Remaining: 28d 2h 49m
Buy It Now for only: $50.00

2005 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver SEE OUR STORE
2005 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver SEE OUR STORE $17.51 (5 Bids)
Time Remaining: 3d 19h 11m

2014 One Half Troy Oz Pure Silver Australia YEAR OF THE HORSE Reverse Proof 50c
2014 One Half Troy Oz Pure Silver Australia YEAR OF THE HORSE Reverse Proof 50c $14.99
Time Remaining: 4d 19h 24m

1973 Vintage One Silver Mundinero 1 Troy Oz Pure Silver 999 + Fine Round Coin
1973 Vintage One Silver Mundinero 1 Troy Oz Pure Silver 999 + Fine Round Coin $34.99
Time Remaining: 7d 11h 11m
Buy It Now for only: $34.99

One Ounce Pure Silver Bar 999 Fine 1976 200 Years of Independence
One Ounce Pure Silver Bar 999 Fine 1976 200 Years of Independence $40.00
Time Remaining: 29d 9h 11m
Buy It Now for only: $40.00

ONE OUNCE SILVER ROUND APMEX LABEL 999 PURE SILVER BULLION FREE SHIP
ONE OUNCE SILVER ROUND APMEX LABEL 999 PURE SILVER BULLION FREE SHIP $18.55 (5 Bids)
Time Remaining: 2d 18h 39m

mm9015 0999 pure Silver Proof 1000 One Pound 16 Troy oz
mm9015 0999 pure Silver Proof 1000 One Pound 16 Troy oz $399.00
Time Remaining: 13d 18h 36m
Buy It Now for only: $399.00

2012 PCGS Certd MS 69 FIRST STRIKE China PANDA One Oz PURE SILVER 10 YUAN 823
2012 PCGS Certd MS 69 FIRST STRIKE China PANDA One Oz PURE SILVER 10 YUAN 823 $29.99
Time Remaining: 3d 19h 39m

mm9016 0999 pure Silver Proof 500 1996 One Half Pound 8 Troy oz
mm9016 0999 pure Silver Proof 500 1996 One Half Pound 8 Troy oz $239.00
Time Remaining: 12d 17h 4m
Buy It Now for only: $239.00

1993 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE
1993 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE $17.50 (4 Bids)
Time Remaining: 3d 19h 29m

1987 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE
1987 Silver Eagle US Dollar 1 One 1 Oz 999 Pure Silver BU SEE OUR STORE $17.51 (5 Bids)
Time Remaining: 3d 19h 32m

ONE BU OUNCE 999 FINE Pure Silver Round MERRY CHRISTMAS SANTA SLEIGH REINDEER
ONE BU OUNCE 999 FINE PURE SILVER ROUND MERRY CHRISTMAS SANTA SLEIGH REINDEER $38.80
Time Remaining: 21d 14h 50m
Buy It Now for only: $38.80

Pure Silver One
I have enough pure silver to coat 3 square meter of surface area.?

I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a cube. Allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a maximum?

The radius of the sphere is ____________,

and the length of the sides of the cube is ___________.

Again, allowing for the possibility of all the silver going onto one of the solids, what dimensions should they be if the total volume of the silvered solids is to be a minimum?

The radius of the sphere is ___________,

and the length of the sides of the cube is ___________.

3 = 4pi*R^2 + 6S^2
V = 4pi/3*R^3 + S^3

S = sqrt[(3 - 4pi*R^2)/6]
V = 4pi/3*R^3 + [(3 - 4pi*R^2)/6]^(3/2)

V '(R) = 4pi*R^2 - 2pi*R(3 - 4pi*R^2)^(1/2) = 0
2pi*R[2R - (3 - 4pi*R^2)^(1/2)] = 0
2R = (3 - 4pi*R^2)^(1/2)
4R^2 = 3 - 4pi*R^2
4(1 + pi)R^2 = 3
R^2 = 3/[4(1 + pi)]
R = sqrt{3/[4(1 + pi)]}

V'(R) = 4pi*R^2 - 2pi*R(3 - 4pi*R^2)^(1/2)
V "(R) = 8pi*R - 2pi(3 - 4pi*R^2)^(1/2) + 8pi^2*R^2(3 - 4pi*R^2)^(-1/2)
V "(0.42554642) > 0
therefore MIN (0.42554642, 0.364744249)

R = 0.42554642 m
S = 0.347457197 m

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